Perturbed integral operator equations of Volterra type with applications to \(p\)-Laplacian equations
type: Item
instance of: scholarly article
title: Perturbed integral operator equations of Volterra type with applications to \(p\)-Laplacian equations
zbMATH Open document ID: 1391.45003
author: Christopher Goodrich
published in: Mediterranean Journal of Mathematics
publication date: 2018-06-01T00:00:00Z
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45M20
Mathematics Subject Classification ID: 47G10
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34B18
zbMATH DE Number: 6879887
zbMATH Keywords: Volterra integral equation
zbMATH Keywords: coercivity
zbMATH Keywords: positive solution
zbMATH Keywords: nonlocal boundary condition
MaRDI profile type: Publication
full work available at URL: s00009-018-1090-3
OpenAlex ID: W2789276231
cites work: Positive solutions for a class of Volterra integral equations via a fixed point theorem in Fréchet spaces
cites work: Existence of three solutions for a first-order problem with nonlinear nonlocal boundary conditions
cites work: Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications
cites work: Nonlinear perturbed integral equations related to nonlocal boundary value problems
cites work: Multiple positive solutions of a \((p_{1},p_{2})\)-Laplacian system with nonlinear BCs
cites work: Solutions of perturbed Hammerstein integral equations with applications
cites work: On the existence of positive solutions of the p‐Laplacian dynamic equations on time scales
cites work: Multiplicity of positive solutions for a nonlinear differential equation with nonlinear boundary conditions
cites work: Solutions of Volterra integral equations with infinite delay
cites work: Existence of a positive solution to a first-order \(p\)-Laplacian BVP on a time scale
cites work: The existence of a positive solution to a second-order delta-nabla \(p\)-Laplacian BVP on a time scale
cites work: Positive solutions to boundary value problems with nonlinear boundary conditions
cites work: On nonlocal BVPs with nonlinear boundary conditions with asymptotically sublinear or superlinear growth
cites work: On nonlinear boundary conditions satisfying certain asymptotic behavior
cites work: Semipositone boundary value problems with nonlocal, nonlinear boundary conditions
cites work: On Nonlinear Boundary Conditions Involving Decomposable Linear Functionals
cites work: Perturbed Hammerstein integral equations with sign-changing kernels and applications to nonlocal boundary value problems and elliptic PDEs
cites work: Coercive nonlocal elements in fractional differential equations
cites work: A new coercivity condition applied to semipositone integral equations with nonpositive, unbounded nonlinearities and applications to nonlocal BVPs
cites work: The effect of a nonstandard cone on existence theorem applicability in nonlocal boundary value problems
cites work: New Harnack inequalities and existence theorems for radially symmetric solutions of elliptic PDEs with sign changing or vanishing Green's function
cites work: Third order boundary value problems with nonlocal boundary conditions
cites work: Q5502266
cites work: Q3645786
cites work: A cantilever equation with nonlinear boundary conditions
cites work: Existence and multiplicity of non-negative solutions for systems of perturbed Hammerstein integral equations
cites work: Q3637878
cites work: Q3057310
cites work: Q3073415
cites work: Non-negative solutions of systems of ODEs with coupled boundary conditions
cites work: Multiple nonnegative solutions of systems with coupled nonlinear boundary conditions
cites work: Existence and localization of positive solutions for a nonlocal BVP arising in chemical reactor theory
cites work: Positive solutions to fractional differential equations involving Stieltjes integral conditions
cites work: Existence of multiple positive solutions for a nonlocal boundary value problem.
cites work: Q4530271
cites work: Q5409624
cites work: A system of Volterra integral equations with blowing up solutions
cites work: Classification of positive solutions of nonlinear systems of Volterra integral equations
cites work: Infinitely many solutions for \(p\)-Laplacian boundary-value problems on the real line
cites work: The existence of positive solutions for the one-dimensional $p$-Laplacian
cites work: Sign-changing solutions to a class of nonlinear equations involving the \(p\)-Laplacian
cites work: POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
cites work: Differential equations with general boundary conditions
cites work: Multiple positive solutions for \(p\)-Laplacian equations with integral boundary conditions
cites work: Positive solutions to a system of second-order nonlocal boundary value problems
cites work: Positive solutions of a second-order integral boundary value problem
cites work: Existence and nonexistence results for positive solutions of an integral boundary value problem
cites work: Existence of nontrivial solutions for a nonlinear Sturm-Liouville problem with integral boundary conditions
cites work: Positive solutions for a system of nonlinear Hammerstein integral equations and applications
cites work: Q3706042
DOI: 10.1007/S00009-018-1090-3
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