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Semigroups of operators, cosine operator functions, and linear differential equations

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Evolutionsgleichungen in lokalkonvexen Räumen
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Semigroups of Linear Operators and Applications to Partial Differential Equations
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Almost-Periodic Functions and Functional Equations
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Semi-Groups of Operators and Approximation
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Perturbation Theory for Linear Operators
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Operator Algebras and Quantum Statistical Mechanics 1
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Operator Algebras and Quantum Statistical Mechanics
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Perturbation theory for linear operators
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Positive One-Parameter Semigroups on Ordered Banach Spaces
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On semi-groups such that T t -I is compact for some t>0
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Some spectral properties ofm-accretive differential operators
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Almost-periodic solutions of second-order differential equations
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Uniqueness theorems for analytic operator-valued functions with nonnegative imaginary part
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Actions with a finite number of orbits
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Behavior at infinity of solutions of operator differential equations
inferredcites →https://doi.org/10.1007/bf01106169openalex-snapshot
Friedrichs and Krein extensions of positive operators and holomorphic contraction semigroups
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Towards a ?matrix theory? for unbounded operator matrices
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Zur Perron-Frobenius-Theorie stark stetiger Halbgruppen
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Structured populations, linear semigroups and positivity
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Kato's equality and spectral decomposition for positive C0-groups
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Two counterexamples to the spectral mapping theorem for semigroups of positive operators
inferredcites →https://doi.org/10.1007/bf01199753openalex-snapshot
A characterization of uniformly bounded cosine functions generators
inferredcites →https://doi.org/10.1007/bf01214990openalex-snapshot
�ber operatorwertige L�sungen der Funktionalgleichung des Cosinus
inferredcites →https://doi.org/10.1007/bf01215091openalex-snapshot
�ber das Spektrum positiver Generatoren
inferredcites →https://doi.org/10.1007/bf01215132openalex-snapshot
Weak Kato-inequalities and positive semigroups
inferredcites →https://doi.org/10.1007/bf01215194openalex-snapshot
Perturbations of positive semigroups and applications to population genetics
inferredcites →https://doi.org/10.1007/bf01236264openalex-snapshot
On the range of the generator of a Markovian semigroup
inferredcites →https://doi.org/10.1007/bf01351384openalex-snapshot
Characterizations of almost periodic strongly continuous groups and semigroups
inferredcites →https://doi.org/10.1007/bf01351602openalex-snapshot
On the perturbation theory for strongly continuous semigroups
inferredcites →https://doi.org/10.1007/bf01435450openalex-snapshot
The underdetermined Cauchy problem in Banach spaces
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A cosine operator approach to modelingL 2(0,T; L 2 (?))?Boundary input hyperbolic equations
inferredcites →https://doi.org/10.1007/bf01457866openalex-snapshot
Perturbation theory for dual semigroups
inferredcites →https://doi.org/10.1007/bf01462881openalex-snapshot
Spectral representations for unbounded operators with real spectrum
inferredcites →https://doi.org/10.1007/bf01535663openalex-snapshot
Integral operators in spaces of summable functions
inferredcites →https://doi.org/10.1007/bf01697971openalex-snapshot
Some developments in semigroups of operators since Hille-Phillips
inferredcites →https://doi.org/10.1007/bf01769210openalex-snapshot
Finite rank, relatively bounded perturbations of semigroups generators
inferredcites →https://doi.org/10.1007/bf01776844openalex-snapshot
On the abstract nonautonomous parabolic cauchy problem in the case of constant domains
inferredcites →https://doi.org/10.1007/bf01781068openalex-snapshot
Abstract linear hyperbolic equations with variable domain
inferredcites →https://doi.org/10.1007/bf01837973openalex-snapshot
Spectral properties of cosine operator functions
inferredcites →https://doi.org/10.1007/bf01848837openalex-snapshot
On an exponential-cosine functional equation
inferredcites →https://doi.org/10.1007/bf01896469openalex-snapshot
Approximation theorems for cosine operator functions
inferredcites →https://doi.org/10.1007/bf01902205openalex-snapshot
Cosine families and abstract nonlinear second order differential equations
inferredcites →https://doi.org/10.1007/bf01956317openalex-snapshot
An asymptotic Fuglede theorem for generators ofC 0 groups
inferredcites →https://doi.org/10.1007/bf02017937openalex-snapshot
Cosine operator functions and the abstract Cauchy problem
inferredcites →https://doi.org/10.1007/bf02018548openalex-snapshot
Some extensions of the initial value problem for second order evolution equations
inferredcites →https://doi.org/10.1007/bf02023587openalex-snapshot
Über Die Konvergenz Operatorwertiger Cosinusfunktionen mit Gestörtem Infinitesimalen Erzeuger
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On bounded time-dependent perturbations of operator cosine functions
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Representation formulas for cosine and sine functions of operators II
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A representation formula for strongly continuous cosine families
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Representation formulas for cosine and sine functions of operators
inferredcites →https://doi.org/10.1007/bf02190502openalex-snapshot
On a theorem of B. Barna
inferredcites →https://doi.org/10.1007/bf02190503openalex-snapshot
A representation formula for strongly continuous cosine families
inferredcites →https://doi.org/10.1007/bf02192668openalex-snapshot
Exponential-cosine operator-valued functional equation in the strong operator topology
inferredcites →https://doi.org/10.1007/bf02194616openalex-snapshot
Convergence rates of ergodic limits for semigroups and cosine functions
inferredcites →https://doi.org/10.1007/bf02195737openalex-snapshot
A semigroup-theoretic proof of the law of large numbers
inferredcites →https://doi.org/10.1007/bf02311310openalex-snapshot
Generating solutions of some Cauchy and cosine functional equations
inferredcites →https://doi.org/10.1007/bf02414722openalex-snapshot
Periodic strongly continuous semigroups
inferredcites →https://doi.org/10.1007/bf02572658openalex-snapshot
Semigroups of operators and second-order cauchy problems
inferredcites →https://doi.org/10.1007/bf02573106openalex-snapshot
A note on the comparison of Co-semigroups
inferredcites →https://doi.org/10.1007/bf02573162openalex-snapshot
On the modulus of one-parameter semigroups
inferredcites →https://doi.org/10.1007/bf02573173openalex-snapshot
A remark on nonlinear cosine functions
inferredcites →https://doi.org/10.1007/bf02573198openalex-snapshot
Scalar-type spectral operators and holomorphic semigroups
inferredcites →https://doi.org/10.1007/bf02573226openalex-snapshot
On the boundary spectrum of dominatedC o-Semigroups
inferredcites →https://doi.org/10.1007/bf02573228openalex-snapshot
A hille-yosida theorem for a class of weakly continuous semigroups
inferredcites →https://doi.org/10.1007/bf02573229openalex-snapshot
Characterization of interpolation spaces and regularity properties for holomorphic semigroups
inferredcites →https://doi.org/10.1007/bf02573232openalex-snapshot
Spectral mapping theorems for exponentially bounded c-semigroups in Banach spaces
inferredcites →https://doi.org/10.1007/bf02573235openalex-snapshot
Holomorphicc-semigroups and holomorphic semigroups
inferredcites →https://doi.org/10.1007/bf02573236openalex-snapshot
On resolvent positive operators and positiveC 0-semigroups onAL-spaces
inferredcites →https://doi.org/10.1007/bf02573286openalex-snapshot
Second order incomplete expiring Cauchy problems
inferredcites →https://doi.org/10.1007/bf02573317openalex-snapshot
Well-posedness of abstract Cauchy problems
inferredcites →https://doi.org/10.1007/bf02573461openalex-snapshot
The spectral mapping theorem for one-parameter groups of positive operators on Co(X)
inferredcites →https://doi.org/10.1007/bf02575530openalex-snapshot
On product formulas for exponential functions
inferredcites →https://doi.org/10.1007/bf02761404openalex-snapshot
Stability for abstract linear functional differential equations
inferredcites →https://doi.org/10.1007/bf02765006openalex-snapshot
Hölder regularity for non-autonomous abstract parabolic equations
inferredcites →https://doi.org/10.1007/bf02774019openalex-snapshot
Dual semigroups and second order linear elliptic boundary value problems
inferredcites →https://doi.org/10.1007/bf02774144openalex-snapshot
Vector-valued laplace transforms and cauchy problems
inferredcites →https://doi.org/10.1007/bf02843868openalex-snapshot
Unicità e regolarità della soluzione del problema di Cauchy per una equazione differenziale astratta del secondo ordine
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On the functional-calculus of non-quasianalytic groups of operators and cosine functions
inferredcites →https://doi.org/10.1007/bf03322967openalex-snapshot
Periodische operatorwertige Cosinusfunktionen
inferredcites →https://doi.org/10.1007/bfb0003750openalex-snapshot
On the relationship between first and second order controllable systems in Banach spaces
inferredcites →https://doi.org/10.1007/bfb0069841openalex-snapshot
Semigroups and cosine functions
inferredcites →https://doi.org/10.1007/bfb0069842openalex-snapshot
Strongly continuous operator cosine functions
inferredcites →https://doi.org/10.1007/bfb0074922openalex-snapshot
One-parameter Semigroups of Positive Operators
inferredcites →https://doi.org/10.1007/bfb0084123openalex-snapshot
A perturbation theorem for semigroups of linear operators
inferredcites →https://doi.org/10.1007/bfb0089647openalex-snapshot
Geometric Theory of Semilinear Parabolic Equations
inferredcites →https://doi.org/10.1007/bfb0099186openalex-snapshot
On the spectrum of certain systems of linear evolution equations
inferredcites →https://doi.org/10.1007/bfb0099200openalex-snapshot
Cosine families of operators and applications
inferredcites →https://doi.org/10.1016/0021-9045(80)90078-7openalex-snapshot
Approximation of unbounded functions and applications to representations of semigroups
inferredcites →https://doi.org/10.1016/0022-0396(69)90105-3openalex-snapshot
Ordinary differential equations in linear topological spaces, I
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Ordinary differential equations in linear topological space, II
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Explicit solution of a class of higher-order abstract Cauchy problems
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Periodic solutions of systems of second-order differential equations
inferredcites →https://doi.org/10.1016/0022-0396(85)90139-1openalex-snapshot
Spectral properties of finite-dimensional perturbed linear semigroups
inferredcites →https://doi.org/10.1016/0022-0396(88)90075-7openalex-snapshot
Weak L-stability of a linear semigroup on a Hilbert space implies exponential stability
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Semigroups and second-order differential equations
inferredcites →https://doi.org/10.1016/0022-1236(79)90040-5openalex-snapshot
Semilinear evolution equations in Banach spaces
inferredcites →https://doi.org/10.1016/0022-1236(79)90054-5openalex-snapshot
The generators of positive semigroups
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Ergodic properties of operator semigroups in general weak topologies
inferredcites →https://doi.org/10.1016/0022-1236(83)90059-9openalex-snapshot
Abstract singular evolution equations of “hyperbolic” type
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Maximal regularity for evolution equations by interpolation and extrapolation
inferredcites →https://doi.org/10.1016/0022-1236(84)90103-4openalex-snapshot
Product formulas for semigroups with elliptic generators
inferredcites →https://doi.org/10.1016/0022-1236(85)90087-4openalex-snapshot
Hardy-Littlewood theory for semigroups
inferredcites →https://doi.org/10.1016/0022-1236(86)90063-7openalex-snapshot
Weakly integrable semigroups on locally convex spaces
inferredcites →https://doi.org/10.1016/0022-1236(86)90082-0openalex-snapshot
On W∗-continuous cosine operator functions
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Existence of spectral values for irreducible C0-semigroups
inferredcites →https://doi.org/10.1016/0022-1236(88)90120-6openalex-snapshot
Parabolic evolution equations in interpolation and extrapolation spaces
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On a connection between first and second order differential equations in banach spaces
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An asymptotic property of solutions of wave equations. II
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On the stabilizability problem in Banach space
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Higher order abstract Cauchy problems
inferredcites →https://doi.org/10.1016/0022-247x(78)90048-3openalex-snapshot
Strongly continuous semigroups of semi-Fredholm operators
inferredcites →https://doi.org/10.1016/0022-247x(78)90113-0openalex-snapshot
Large-time behavior of solutions of abstract wave equations
inferredcites →https://doi.org/10.1016/0022-247x(84)90136-7openalex-snapshot
Mean ergodic theorems for semigroups of linear operators
inferredcites →https://doi.org/10.1016/0022-247x(85)90353-1openalex-snapshot
On the abstract Cauchy problem of parabolic type in spaces of continuous functions
inferredcites →https://doi.org/10.1016/0022-247x(85)90366-xopenalex-snapshot
Some remarks on the asymptotic behaviour of the solutions of second order evolution equations
inferredcites →https://doi.org/10.1016/0022-247x(85)90370-1openalex-snapshot
Abstract differential equations with almost-periodic solutions
inferredcites →https://doi.org/10.1016/0022-247x(86)90054-5openalex-snapshot
Characterizations of almost periodic strongly continuous cosine operator functions
inferredcites →https://doi.org/10.1016/0022-247x(88)90118-7openalex-snapshot
The Hille-Yosida space of an arbitrary operator
inferredcites →https://doi.org/10.1016/0022-247x(88)90223-5openalex-snapshot
Instability of the solutions of evolutionary equations using conservation laws
inferredcites →https://doi.org/10.1016/0022-247x(89)90046-2openalex-snapshot
Exponentially bounded C-semigroups and generation of semigroups
inferredcites →https://doi.org/10.1016/0022-247x(89)90252-7openalex-snapshot
Generalized wave operators in space with an indefinite metric
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Boundary value problems for second-order differential operator equations
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SECOND ORDER DIFFERENTIAL EQUATIONS IN BANACH SPACE
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Methods of Modern Mathematical Physics
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Second Order Linear Differential Equations
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Differential Equations in Abstract Spaces
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Applications of Functional Analysis and Operator Theory
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ON THE HOLOMORPHIC PROPERTY OF THE SEMIGROUP ASSOCIATED WITH LINEAR ELASTIC SYSTEMS WITH STRUCTURAL DAMPING
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Uniform Ergodic Theorems for Operator Semigroups
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What Can Positivity do for Stability ?
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Asymptotics for Bounded Semigroups on Hilbert Space
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Generators of Positive CO -Semigroups
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Maximal Regularity for Abstract Differential Equations and Applications to the Existence of Periodic Solutions
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Interpolation Theory, Function Spaces, Differential Operators
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One-parameter semigroups
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A note on positive semigroups
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Differential equations in Banach spaces
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A note on linear hyperbolic evolution equations
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On the growth of solutions to second order differential equations in Banach spaces
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Bounded solutions of linear periodic abstract parabolic equations
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Perturbation theory for dual semigroups II. Time-dependent perturbations in the sun-reflexive case
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Functional Analysis and Semi-Groups
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Handbook of Laplace Transformation
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Boundary values of solutions of operator-differential equations
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PERIODIC AND ALMOST PERIODIC COSINE OPERATOR FUNCTIONS
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NONHOMOGENEOUS BOUNDARY VALUE PROBLEMS FOR DIFFERENTIAL-OPERATOR EQUATIONS OF MIXED TYPE, AND THEIR APPLICATION
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ASYMPTOTICALLY ALMOST PERIODIC SOLUTIONS OF SOME LINEAR EVOLUTION EQUATIONS
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Variable domain second order evolution equations
inferredcites →https://doi.org/10.1080/00036818508839530openalex-snapshot
Cosine Families of Unbounded Operators
inferredcites →https://doi.org/10.1080/00036818708839694openalex-snapshot
Cauchy problems involving non-selfadjoint operators
inferredcites →https://doi.org/10.1080/03605307608820022openalex-snapshot
On a method for studying abstract evolution equations in the hyperbolic case
inferredcites →https://doi.org/10.1080/03605307808820087openalex-snapshot
On an abstract singular cauchy problem
inferredcites →https://doi.org/10.1090/mmono/029openalex-snapshot
Linear Differential Equations in Banach Space
inferredcites →https://doi.org/10.1090/mmono/043openalex-snapshot
Stability of Solutions of Differential Equations in Banach Space
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A mathematical model for linear elastic systems with structural damping
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Some Remarks on Infinitesimal Generators of Analytic Semigroups
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An Asymptotic Property of Solutions of Wave Equations
inferredcites →https://doi.org/10.1090/s0002-9939-1979-0521880-4openalex-snapshot
Analytic Properties of Cosine Operators
inferredcites →https://doi.org/10.1090/s0002-9939-1980-0567976-0openalex-snapshot
A Remark on Cosine Families
inferredcites →https://doi.org/10.1090/s0002-9939-1981-0627692-4openalex-snapshot
On a mean ergodic theorem
inferredcites →https://doi.org/10.1090/s0002-9939-1986-0813807-6openalex-snapshot
On semigroups generated by 𝑚-accretive operators in a strict sense
inferredcites →https://doi.org/10.1090/s0002-9939-1986-0826482-1openalex-snapshot
Counterexample to the Spectral Mapping Theorem for the Exponential Function
inferredcites →https://doi.org/10.1090/s0002-9939-1987-0866437-5openalex-snapshot
Powers of Generators of Holomorphic Semigroups
inferredcites →https://doi.org/10.1090/s0002-9939-1987-0883409-5openalex-snapshot
On the Relation Between the Semigroup and its Infinitesimal Generator
inferredcites →https://doi.org/10.1090/s0002-9939-1988-0943083-7openalex-snapshot
Totally Accretive Operators
inferredcites →https://doi.org/10.1090/s0002-9939-1988-0962810-6openalex-snapshot
Inverses of Generators
inferredcites →https://doi.org/10.1090/s0002-9947-1977-0636372-4openalex-snapshot
Semigroups of Unbounded Linear Operators in Banach Space
inferredcites →https://doi.org/10.1090/s0002-9947-1986-0831199-8openalex-snapshot
Well-Posedness of Higher Order Abstract Cauchy Problems
inferredcites →https://doi.org/10.1090/s0002-9947-1987-0902796-7openalex-snapshot
An Operator-Theoretic Formulation of Asynchronous Exponential Growth
inferredcites →https://doi.org/10.1090/s0002-9947-1988-0933321-3openalex-snapshot
Tauberian Theorems and Stability of One-Parameter Semigroups
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Semidiscrete and Single Step Fully Discrete Approximations for Second Order Hyperbolic Equations With Time-Dependent Coefficients
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Stabilizability and Semigroups with Discrete Generators
inferredcites →https://doi.org/10.1093/qmath/33.3.303openalex-snapshot
COSINE FUNCTIONS AND THE FEYNMAN-KAC FORMULA
inferredcites →https://doi.org/10.1093/qmath/36.3.315openalex-snapshot
PERTURBATIONS OF SEMIGROUPS
inferredcites →https://doi.org/10.1093/qmath/37.2.167openalex-snapshot
PERTURBATIONS OF ULTRACONTRACTIVE SEMIGROUPS
inferredcites →https://doi.org/10.1112/blms/16.2.204openalex-snapshot
ALMOST PERIODIC FUNCTIONS AND DIFFERENTIAL EQUATIONS
inferredcites →https://doi.org/10.1112/jlms/s2-30.2.322openalex-snapshot
A Version of the Trotter Product Formula for Quadratic-Form Perturbations
inferredcites →https://doi.org/10.1112/jlms/s2-38.2.286openalex-snapshot
Essential Spectra of a Class of Elliptic Operators
inferredcites →https://doi.org/10.1112/plms/s3-54.2.321openalex-snapshot
Resolvent Positive Operators
inferredcites →https://doi.org/10.1112/plms/s3-55.1.181openalex-snapshot
The Cauchy Problem and a Generalization of the Hille-Yosida Theorem
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On the Relationship between First and Second Order Controllable Systems in Banach Spaces
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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Existence and Uniqueness Results for Mild Solutions of Riemann–Liouville Time-Fractional Systems With Order $$1<\alpha <2$$
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