Existence of Solutions for Some Nonlinear Problems with Boundary Value Conditions

Dionicio Pastor Dallos Santos

Abstract and Applied Analysis, 2016, vol. 2016, issue 1

Abstract: We study the existence of solutions for nonlinear boundary value problems φu′′=ft,u,u′, lu,u′=0, where l(u, u′) = 0 denotes the boundary conditions on a compact interval [0, T], φ is a homeomorphism such that φ(0) = 0, and f:0,T×R×R→R 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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https://doi.org/10.1155/2016/5283263

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2016:y:2016:i:1:n:5283263

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