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Nonlinear perturbed integral equations related to nonlocal boundary value problems (1601.06707v1)
Published 25 Jan 2016 in math.CA
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.
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