An affine Birkhoff–Kellogg‐type result in cones with applications to functional differential equations

DOI10.1002/mma.8665arXiv2205.06509MaRDI QIDQ6147233

Publication date: 15 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.06509

zbMATH Keywords

cone fixed point index retarded functional differential equation functional boundary condition Birkhoff-Kellogg-type result

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary value problems for functional-differential equations (34K10)

Cites Work

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Nontrivial solutions of boundary value problems for second-order functional differential equations
Monotone positive solution of nonlinear third-order BVP with integral boundary conditions
An overview of the lower and upper solutions method with nonlinear boundary value conditions
Existence of multiple positive solutions for a nonlocal boundary value problem.
Solvability of boundary value problem at resonance for third-order functional differential equations
Solvability of functional differential equations with multi-point boundary value problems at resonance
Introduction to functional differential equations
Note on third-order boundary value problem for differential equations with deviating arguments
Compactness of nonlinear integral operators with discontinuous and with singular kernels
Pointwise conditions for perturbed Hammerstein integral equations with monotone nonlinear, nonlocal elements
On the number of solutions of nonlinear equations in ordered Banach spaces
On the solvability of a parameter-dependent cantilever-type BVP
POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
Second order systems with nonlinear nonlocal boundary conditions
A survey on stationary problems, Green’s functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions
Existence of Positive Solutions for a Nonlinear Third-order Integral Boundary Value Problem
Differential equations with general boundary conditions

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