Existence of Solutions for Some Nonlinear Problems with Boundary Value Conditions

Dionicio Pastor Dallos Santos

Abstract and Applied Analysis, 2016, vol. 2016, 1-10

Abstract:

We study the existence of solutions for nonlinear boundary value problems , where denotes the boundary conditions on a compact interval , is a homeomorphism such that , and is a continuous function. All the contemplated boundary value problems are reduced to finding a fixed point for one operator defined on a space of functions, and Schauder fixed point theorem or Leray-Schauder degree is used.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:5283263

DOI: 10.1155/2016/5283263

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