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The parity as an invariant for detecting bifurcation of the zeroes of one parameter families of nonlinear Fredholm maps

https://doi.org/10.1007/bfb0085074
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4613-8159-4openalex-snapshot
Methods of Bifurcation Theory
inferredcites →https://doi.org/10.1007/978-1-4615-7904-5openalex-snapshot
Stable Mappings and Their Singularities
inferredcites →https://doi.org/10.1007/978-3-0348-7509-7openalex-snapshot
Classes of Linear Operators
inferredcites →https://doi.org/10.1007/978-3-642-69409-7openalex-snapshot
Geometrical Methods of Nonlinear Analysis
inferredcites →https://doi.org/10.1016/0001-8708(74)90071-1openalex-snapshot
Bifurcations under nongeneric conditions
inferredcites →https://doi.org/10.1016/0022-0396(77)90001-8openalex-snapshot
Multiplicity, Leray-Schauder formula, and bifurcation
inferredcites →https://doi.org/10.1016/0022-0396(88)90039-3openalex-snapshot
Optimal multiplicity in local bifurcation theory I. Generalized generic eigenvalues
inferredcites →https://doi.org/10.1016/0022-0396(88)90136-2openalex-snapshot
Optimal multiplicity in local bifurcation theory II. General case
inferredcites →https://doi.org/10.1016/0022-1236(71)90015-2openalex-snapshot
Bifurcation from simple eigenvalues
inferredcites →https://doi.org/10.1016/0022-1236(71)90030-9openalex-snapshot
Some global results for nonlinear eigenvalue problems
inferredcites →https://doi.org/10.1016/0022-1236(91)90090-ropenalex-snapshot
Nonorientability of the index bundle and several-parameter bifurcation
inferredcites →https://doi.org/10.1016/0040-9383(65)90067-4openalex-snapshot
The homotopy type of the unitary group of Hilbert space
inferredcites →https://doi.org/10.1016/0362-546x(88)90033-8openalex-snapshot
Homotopy, linearization, and bifurcation
inferredcites →https://doi.org/10.1016/0362-546x(89)90021-7openalex-snapshot
Generalized Jordan chains and two bifurcation theorems of Krasnoselskii
inferredcites →https://doi.org/10.1070/rm1970v025n05abeh003814openalex-snapshot
The homotopy structure of the linear group of a Banach space
inferredcites →https://doi.org/10.1070/sm1972v018n03abeh001825openalex-snapshot
THE DEGREE OF A QUASI-RULED MAPPING AND A NONLINEAR HILBERT PROBLEM
inferredcites →https://doi.org/10.1070/sm1974v022n03abeh001699openalex-snapshot
FINITE DIMENSIONALITY OF THE KERNEL AND COKERNEL OF QUASILINEAR ELLIPTIC MAPPINGS
inferredcites →https://doi.org/10.1090/conm/072openalex-snapshot
Fixed Point Theory and Its Applications
inferredcites →https://doi.org/10.1090/conm/072/956479openalex-snapshot
The fundamental group of the space of linear Fredholm operators and the global analysis of semilinear equations
inferredcites →https://doi.org/10.1090/conm/072/956492openalex-snapshot
𝐾-theoretic methods in bifurcation theory
inferredcites →https://doi.org/10.1090/memo/0174openalex-snapshot
Bifurcation theory for Fredholm operators
inferredcites →https://doi.org/10.1090/memo/0483openalex-snapshot
Orientation and the Leray-Schauder theory for fully nonlinear elliptic boundary value problems
inferredcites →https://doi.org/10.1090/pspum/045.1/843576openalex-snapshot
An extension of the Leray-Schauder degree for fully nonlinear elliptic problems
inferredcites →https://doi.org/10.1090/s0002-9939-1973-0328707-9openalex-snapshot
Bifurcation at Eigenvalues of Odd Multiplicity
inferredcites →https://doi.org/10.1090/s0002-9939-1990-1009988-5openalex-snapshot
A local bifurcation theorem for 𝐶¹-Fredholm maps
inferredcites →https://doi.org/10.1090/s0002-9947-1991-1030507-7openalex-snapshot
Parity and Generalized Multiplicity
inferredcites →https://doi.org/10.1112/blms/15.2.149openalex-snapshot
A Leray-Schauder Degree Calculation Leading to Non-Standard Global Bifurcation Results
inferredcites →https://doi.org/10.1112/plms/s3-32.2.251openalex-snapshot
A Generalization of Multiplicity and the Problem of Bifurcation
inferredcites →https://doi.org/10.1216/rmj-1988-18-2-305openalex-snapshot
Necessary and sufficient conditions for multiparameter bifurcation
inferredcites →https://doi.org/10.1515/crll.1992.427.1openalex-snapshot
The degree of proper C2 Fredholm mapppings I.
inferredcites →https://doi.org/10.2307/2315009openalex-snapshot
Topological Methods in the Theory of Nonlinear Integral Equations.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4578932openalex-extracted
Equivariant Global Hopf Bifurcation in Abstract Nonlinear Parabolic Equations
inferred← citeshttps://doi.org/10.1007/978-1-4612-0191-5_11openalex-snapshot
Orientation and Degree for Fredholm Maps of Index Zero Between Banach Spaces
inferred← citeshttps://doi.org/10.1007/978-981-97-8301-4_2openalex-snapshot
The Periodically Forced Duffing Equation
inferred← citeshttps://doi.org/10.1007/s10958-021-05260-2openalex-snapshot
Method of Monotone Solutions for Reaction-Diffusion Equations
inferred← citeshttps://doi.org/10.1007/s11856-022-2294-6openalex-snapshot
Existence of solutions for a nonlocal reaction-diffusion equation in biomedical applications
inferred← citeshttps://doi.org/10.1017/prm.2025.10062openalex-snapshot
Evans function, parity and nonautonomous bifurcations
inferred← citeshttps://doi.org/10.12775/tmna.2000.042openalex-snapshot
On the concept of orientability for Fredholm maps between real Banach manifolds
inferred← citeshttps://doi.org/10.4171/zaa/777openalex-snapshot
Bifurcation from Simple Eigenvalue for Functional-Differential Equations
inferred← citeshttps://doi.org/10.57262/die/1370267708openalex-snapshot
The parity of paths of closed Fredholm operators of index zero
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