Asymptotic nonuniform nonresonance conditions for a nonlinear discrete boundary value problem

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Abstract

Let T:= {a+1,..., b+1}. We study the solvability of nonlinear discrete two-point boundary value problem[GRAPHICS]where h : T - R, g : R - R satisfies[GRAPHICS]uniformly on T, and alpha and beta satisfy some nonresonance conditions of nonuniform type with respect to two consecutive eigenvalues of the associated linearproblem. The proof is based on the Leray-Schauder continuation theorem.
Original languageEnglish (Ireland)
Number of pages10
JournalDynamic Systems And Applications
Volume17
Publication statusPublished - 1 Jun 2008

Authors (Note for portal: view the doc link for the full list of authors)

  • Authors
  • Ma, RY;O'Regan, D

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