Nonlinear perturbed integral equations related to nonlocal boundary value problems

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FPT-C-In-To-2018.pdf (393.19 KB)
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URI: https://hdl.handle.net/10347/44941
ISSN: 1583-5022
E-ISSN: 2066-9208
DOI: 10.24193/fpt-ro.2018.1.07

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2018-02-01

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Department of Mathematics Babeş-Bolyai University Cluj-Napoca
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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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Perturbed integral equation| Nonlocal differential equation| Nonlinear boundary condition| Nontrivial solution| Fixed point index| Cone

Bibliographic citation

Alberto Cabada, Gennaro Infante and F. Adrián F. Tojo, Nonlinear perturbed integral equations related to nonlocal boundary value problems. Fixed Point Theory, Volume 19, No. 1, 2018, 65-92, February 1st, 2018

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A. Cabada and F. A. F. Tojo were partially supported by Ministerio de Educacion y Ciencia, Spain, and FEDER, Project MTM2013-43014-P. F. A. F. Tojo was partially supported by Xunta de Galicia (Spain), project EM2014/032; FPU scholarship, Ministerio de Educacion, Cultura y Deporte, Spain and a Fundaci on Barrie Scholarship. G. Infante was partially supported by G.N.A.M.P.A. - INdAM (Italy).

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Attribution-NonCommercial-NoDerivatives 4.0 International

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Estatística, Análise Matemática e Optimización