Nonlinear perturbed integral equations related to nonlocal boundary value problems

Abstract

By topological arguments, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions of a class of perturbed nonlinear integral equations. These type of integral equations arise, for example, when dealing with boundary value problems where nonlocal terms occur in the differential equation and/or in the boundary conditions. Some examples are given to illustrate the theoretical results.

29 pages

References in corpus (2)

• Non-trivial solutions of local and non-local Neumann boundary-value problems
• Bounded and Almost Periodic Solutions for Second Order Differential Equation Involving Reflection of the Argument

Cited by in corpus (2)

• Solutions of perturbed Hammerstein integral equations with applications
• Green's function related to a n order linear differential equation coupled to arbitrary linear non local boundary conditions