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Functional Differential Equations with Infinite Delay

https://doi.org/10.1007/bfb0084432
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Existence and Exponential Stability of a Periodicsolution of an Infinite Delay Differential System Withapplications to Cohen-Grossberg Neural Networks
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Existence of Periodic Solutions of Partial Neutral Functional Differential Equations with Unbounded Delay
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Existence of a Periodic Solution for Some Partial Functional Differential Equations with Infinite Delay
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HISTORY OF DELAY EQUATIONS
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TIME DELAYS IN EPIDEMIC MODELS
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Introduction
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Preliminary Background
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Partial Hyperbolic Functional Differential Equations
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Partial Hyperbolic Functional Differential Inclusions
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Impulsive Partial Hyperbolic Functional Differential Equations
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Impulsive Partial Hyperbolic Functional Differential Inclusions
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Implicit Partial Hyperbolic Functional Differential Equations
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Fractional Order Riemann–Liouville Integral Equations
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Differential Equations with Random Delay
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Second-Order Semilinear Evolution Equations
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Functional Differential Equations
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Existence Results for Impulsive Partial Functional Fractional Differential Equation with State Dependent Delay
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General Linear Systems
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The Solvability and Optimality for Semilinear Stochastic Equations with Unbounded Delay
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Global Attractor in Alpha-Norm for Some Partial Functional Differential Equations of Neutral and Retarded Type
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Successive Approximation of Neutral Stochastic Partial Integrodifferential Systems with State-Dependent Delay and Poisson Jumps
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Analyzing Existence and Controllability in Second-Order Functional Integro-Differential Inclusions with Infinite Delay and Random Effects
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Existence Results to Some Integrodifferential Equations
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Applications
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Partial Functional Differential Equations: Reduction of Complexity and Applications
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Preliminary Background
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Functional Differential Inclusions with Multi-valued Jumps
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Functional Differential Equations and Inclusions with Delay
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Partial Functional Evolution Inclusions with Infinite Delay
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Impulsive Semi-linear Functional Differential Equations
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A Nonclassical and Nonautonomous Diffusion Equation Containing Infinite Delays
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Attractors for a Random Evolution Equation with Infinite Memory: An Application
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Neutral Differential Systems with Impulse and Delay
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Evolution Differential Systems with Impulse and Delay
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Non-autonomous Functional Differential Equations and Applications
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Background
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Abstract Delay Equations Inspired by Population Dynamics
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Non—Autonomous Nonlinear Functional Evolutions
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Viral Immunology: Modeling and Analysis
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Exact Controllability of Semi-Linear MDE with Infinite Delay
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The Periodicity of Solutions of Nonautonomous Functional Differential Equations with Infinite Delay via Sadovskii’s Fixed-Point Theorem
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Stochastic Integrodifferential Equations with Deviating Argument Driven by Poisson Jumps: Optimal Controls
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On the stability of real exponential polynomials with interval-valued delays
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Families of Liapunov-Krasovskiį functionals and stability for functional differential equations
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Controllability of neutral functional integrodifferential systems in abstract space
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Impulsive Problems for Fractional Partial Neutral Functional Integro-Differential Inclusions with Infinite Delay and Analytic Resolvent Operators
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Measure Pseudo-Almost Periodic Solutions in the $${\alpha}$$ α -Norm to Some Neutral Partial Differential Equations with Delay
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Existence and Dependence Results for Semilinear Functional Stochastic Differential Equations with Infinite Delay in a Hilbert Space
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Lyapunov Exponents for Linear Delay Equations in Arbitrary Phase Spaces
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Existence Results for Fractional Order Semilinear Integro-Differential Evolution Equations with Infinite Delay
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Approximate Controllability of Fractional Differential Equations with State-Dependent Delay
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Solutions of affine stochastic functional differential equations in the state space
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Periodic solutions of state-dependent abstract functional differential equations with infinite delay
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Existence results for abstract functional differential equations with infinite state-dependent delay and applications
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Almost Automorphic Solutions for Partial Functional Differential Equations with Infinite Delay
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Mild solutions for impulsive neutral functional differential equations with state-dependent delay
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Controllability for Semilinear Functional and Neutral Functional Evolution Equations with Infinite Delay in Fréchet Spaces
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On implicit abstract neutral nonlinear differential equations
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Approximate Controllability for a Semilinear Stochastic Evolution System with Infinite Delay in $$L_p$$ L p Space
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The Solvability and Optimal Controls for Fractional Stochastic Differential Equations Driven by Poisson Jumps Via Resolvent Operators
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Optimal Control Problems for a Semilinear Evolution System with Infinite Delay
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Approximate Controllability of Second-Order Stochastic Differential Systems Driven by a Lévy Process
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Time Optimal Control of a Clarke Subdifferential Type Stochastic Evolution Inclusion in Hilbert Spaces
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Persistence of bacteria and phages in a chemostat
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A closed NPZ model with delayed nutrient recycling
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The effect of pathogens from environmental breeding and accumulative release by the infected individuals on spread dynamics of a SIRP epidemic model
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Convergence of Asymptotic Systems of Non-autonomous Neural Network Models with Infinite Distributed Delays
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Explicit criteria for exponential stability of time-varying systems with infinite delay
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Anti-periodic solutions for HCNNs with time-varying delays in the leakage terms
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Existence and stability of almost periodic solutions for CNNs with continuously distributed leakage delays
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Existence of Solutions for Fractional Partial Neutral Stochastic Functional Integro-Differential Inclusions with State-Dependent Delay and Analytic Resolvent Operators
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Existence and Long-Time Behavior of Solutions to a Class of Nonclassical Diffusion Equations with Infinite Delays
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Square-mean S-Asymptotically $$\omega $$-Periodic Solutions for Some Stochastic Delayed Integrodifferential Inclusions
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Existence Results of Damped Second Order Impulsive Functional Differential Equations with Infinite Delay
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Large Deviation Principle for the Stationary Solutions of Stochastic Functional Differential Equations with Infinite Delay
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Existence Results for Impulsive Neutral Stochastic Functional Integro-Differential Equations with Infinite Delays
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On a New Class of Abstract Neutral Integro-Differential Equations and Applications
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Solvability and Optimal Controls of a Fractional Impulsive Stochastic Partial Integro-Differential Equation with State-Dependent Delay
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An existence theorem for a type of functional differential equation with infinite delay
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Periodic solutions of abstract neutral functional differential equations with infinite delay
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Impulsive semilinear neutral functional differential inclusions with multivalued jumps
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Existence of solutions for abstract neutral integro-differential equations with unbounded delay
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Approximate Controllability for a Semilinear Evolution System with Infinite Delay
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Pseudo Almost Periodic Solutions to Impulsive Non-autonomous Stochastic Differential Equations with Unbounded Delay and its Optimal Control
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Approximate Controllability for a Class of Linear Neutral Evolution Systems with Infinite Delay
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Stability and Extinction for Lotka–Volterra Systems with Infinite Delay
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Reducible Volterra and Levin–Nohel Retarded Equations with Infinite Delay
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Exponential Ordering for Neutral Functional Differential Equations With Non-Autonomous Linear D-Operator
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A Hilbert Space Perspective on Ordinary Differential Equations with Memory Term
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Impacts of the Cell-Free and Cell-to-Cell Infection Modes on Viral Dynamics
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Analysis of a Stochastic 2D-Navier–Stokes Model with Infinite Delay
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Stability for Nonautonomous Linear Differential Systems with Infinite Delay
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Sigmoidal Approximations of a Nonautonomous Neural Network with Infinite Delay and Heaviside Function
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Periodicity of Solutions for Non-Autonomous Neutral Functional Differential Equations with State-Dependent Delay
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Blowing-Up Asymptotically Autonomous Planar Vector Fields: Infinite Delay Equations and Invariant Manifolds
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Global stability for functional differential equations with infinite delay and applications to Hopfield-type neural networks
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Controllability of Neutral Functional Differential and Integrodifferential Inclusions with Infinite Delay
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Controllability of Functional Integro-Differential Inclusions with an Unbounded Delay
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Approximate Controllability of Second-Order Stochastic Distributed Implicit Functional Differential Systems with Infinite Delay
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Asymptotic Behavior for Retarded Parabolic Equations with Superlinear Perturbations
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Second-order Neutral Stochastic Evolution Equations with Infinite Delay under Carathéodory Conditions
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Existence, Uniqueness and Stability of Mild Solutions for Time-Dependent Stochastic Evolution Equations with Poisson Jumps and Infinite Delay
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Controllability of Damped Second-Order Impulsive Neutral Functional Differential Systems with Infinite Delay
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Controllability of Neutral Evolution Integrodifferential Systems with State Dependent Delay
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Controllability of Second Order Impulsive Neutral Functional Differential Inclusions with Infinite Delay
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On the Averaging Principle for Semilinear Functional Differential Equations with Infinite Delay in a Banach Space
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Bounded Solutions of Functional Integro-Differential Equations Arising from Heat Conduction in Materials with Memory
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Delay Differential Equations with Differentiable Solution Operators on Open Domains in C((−∞, 0], ℝn) and Processes for Volterra Integro-Differential Equations
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Periodic Solutions of BAM Neural Networks with Continuously Distributed Delays in the Leakage Terms
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New Results on Exponential Convergence for Cellular Neural Networks with Continuously Distributed Leakage Delays
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Global Convergence on Asymptotically Almost Periodic SICNNs with Nonlinear Decay Functions
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Periodic Stability on a Class of D-Operator-Based Neutral-Type Rayleigh Equations Accompanying Mixed Delays
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A general class of evolutionary equations
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Global Existence Results for Neutral Functional Differential Inclusions with State-Dependent Delay
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Approximate controllability of second-order neutral stochastic differential equations with infinite delay and Poisson jumps
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Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations
inferred← citeshttps://doi.org/10.1007/s11432-009-0127-4openalex-snapshot
Approximate controllability results of semilinear integrodifferential equations with infinite delays
inferred← citeshttps://doi.org/10.1007/s11464-020-0863-8openalex-snapshot
Convergence, boundedness, and ergodicity of regime-switching diffusion processes with infinite memory
inferred← citeshttps://doi.org/10.1007/s11538-012-9759-4openalex-snapshot
Cholera Models with Hyperinfectivity and Temporary Immunity
inferred← citeshttps://doi.org/10.1007/s11587-019-00461-zopenalex-snapshot
Approximate controllability of semilinear system involving state-dependent delay via fundamental solution
inferred← citeshttps://doi.org/10.1007/s11766-018-3449-4openalex-snapshot
Existence and uniqueness results for mild solutions of random impulsive abstract neutral partial differential equation over real axis
inferred← citeshttps://doi.org/10.1007/s11768-013-2061-7openalex-snapshot
Approximate controllability of impulsive neutral stochastic functional differential system with state-dependent delay in Hilbert spaces
inferred← citeshttps://doi.org/10.1007/s11784-015-0215-6openalex-snapshot
Global continuation of forced oscillations of retarded motion equations on manifolds
inferred← citeshttps://doi.org/10.1007/s11784-018-0649-8openalex-snapshot
The optimal behavior of solutions to fractional impulsive stochastic integro-differential equations and its control problems
inferred← citeshttps://doi.org/10.1007/s11784-019-0660-8openalex-snapshot
Semilinear fractional differential equations with infinite delay and non-instantaneous impulses
inferred← citeshttps://doi.org/10.1007/s11784-022-01007-xopenalex-snapshot
Stability analysis for nonlocal evolution equations involving infinite delays
inferred← citeshttps://doi.org/10.1007/s11784-025-01248-6openalex-snapshot
Finite-approximate controllability for partial neutral functional evolution equations
inferred← citeshttps://doi.org/10.1007/s11784-026-01330-7openalex-snapshot
Finite-approximate controllability of non -autonomous neutral impulsive systems with state-dependent delays
inferred← citeshttps://doi.org/10.1007/s11785-024-01524-2openalex-snapshot
Controllability of Mild Solutions for Second-Order Neutral Evolution Equations with State-Dependent Delay
inferred← citeshttps://doi.org/10.1007/s11785-025-01794-4openalex-snapshot
A Class of Second-Order Damped Neutral Stochastic Differential Control Systems with State-Dependent Delay and Impulses
inferred← citeshttps://doi.org/10.1007/s11785-026-01906-8openalex-snapshot
Analysis of Neutral Second-Order Non-Autonomous Damped Stochastic Evolution Control Systems With State-Dependent Delay
inferred← citeshttps://doi.org/10.1007/s11785-026-01916-6openalex-snapshot
New Results on Dynamical Systems with Impulsive Fractional Stochastic Integro-Differential Delay Conditions
inferred← citeshttps://doi.org/10.1007/s11856-018-1796-8openalex-snapshot
Well-posedness for degenerate third order equations with delay and applications to inverse problems
inferred← citeshttps://doi.org/10.1007/s12190-010-0455-yopenalex-snapshot
Pseudo-almost periodic solutions of a class of semilinear fractional differential equations
inferred← citeshttps://doi.org/10.1007/s12190-013-0686-9openalex-snapshot
Ergodic and weighted pseudo-almost periodic solutions for partial functional differential equations in fading memory spaces
inferred← citeshttps://doi.org/10.1007/s12190-024-02332-9openalex-snapshot
Results concerning the optimal control for second-order Sobolev-type stochastic integrodifferential equations with impulses and nonlocal conditions
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Approximate controllability for impulsive stochastic delayed differential inclusions
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Eberlein-Weakly Almost Periodic Solutions for Some Partial Functional Differential Equation with Infinite Delay
inferred← citeshttps://doi.org/10.1007/s12346-024-01003-1openalex-snapshot
Solution Sets for Second-Order Integro-Differential Inclusions with Infinite Delay
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Global Existence Results for Neutral Functional Differential Equations with State-Dependent Delay
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Global Well-Posedness and Pullback Attractors for an Incompressible Non-Newtonian Fluid with Infinite Delays
inferred← citeshttps://doi.org/10.1007/s12591-016-0286-xopenalex-snapshot
Approximations of Solutions of a Neutral Fractional Integro-Differential Equation
inferred← citeshttps://doi.org/10.1007/s12591-016-0315-9openalex-snapshot
Existence, Global Continuation and Regularity in the $$\alpha $$ α -Norm for Some Partial Functional Integrodifferential Equations with Infinite Delay
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Periodic Solutions for Some Nondensely Nonautonomous Partial Functional Differential Equations in Fading Memory Spaces
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Approximate Controllability for Weighted Semilinear Riemann–Liouville Fractional Differential Systems with Infinite Delay
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Second Order Neutral Functional Differential Inclusions with Delay
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Existence and Regularity of Mild Solutions, in the Alpha Norm, for Neutral Integro-Differential Evolution Equations with Infinite Delay
inferred← citeshttps://doi.org/10.1007/s12591-025-00747-9openalex-snapshot
Existence of Solutions for Some Partial Functional Differential Equation in the Case of Non-Lipschitz Condition with Infinite Delay
inferred← citeshttps://doi.org/10.1007/s12591-026-00791-zopenalex-snapshot
Poisson Square-Mean Weighted Pseudo S-Asymptotically $$(\omega ,c)$$-Periodic Solutions of Impulsive Stochastic Equations with Lévy Noise
inferred← citeshttps://doi.org/10.1007/s13226-021-00065-0openalex-snapshot
Globally exponential stability of a partial stochastic differential equation with pseudo almost periodic coefficients and infinite delay
inferred← citeshttps://doi.org/10.1007/s13226-021-00123-7openalex-snapshot
Infinite-delayed stochastic impulsive differential systems with Poisson jumps
inferred← citeshttps://doi.org/10.1007/s13348-014-0109-8openalex-snapshot
Approximate controllability of partial fractional neutral stochastic functional integro-differential inclusions with state-dependent delay
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A study on existence of solutions for fractional functional differential equations
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Existence results in the $$\alpha $$ α -norm for neutral partial functional integro-differential equations with infinite delay
inferred← citeshttps://doi.org/10.1007/s13370-018-0608-yopenalex-snapshot
Mild solutions for some nonautonomous partial functional differential equations with infinite delay
inferred← citeshttps://doi.org/10.1007/s13370-019-00703-1openalex-snapshot
Existence results systems coupled impulsive neutral stochastic functional differential equations with the measure of noncompactness
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