Eigenvalue problems for nonlinear third-order m-point p-Laplacian dynamic equations on time scales

DOĞAN A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.39, no.7, pp.1634-1645, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 7
  • Publication Date: 2016
  • Doi Number: 10.1002/mma.3258
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1634-1645
  • Keywords: time scales, eigenvalue problem, p-Laplacian, nontrivial solutions, nonlinear alternative of Leray-Schauder, fixed point theorem, BOUNDARY-VALUE-PROBLEMS, MONOTONE POSITIVE SOLUTIONS, EXISTENCE, ITERATION, UNIQUENESS, OPERATOR
  • Abdullah Gül University Affiliated: Yes

Abstract

This work deals with the existence and uniqueness of a nontrivial solution for the third-order p-Laplacian m-point eigenvalue problems on time scales. We find several sufficient conditions of the existence and uniqueness of nontrivial solution of eigenvalue problems when lambda is in some interval. The proofs are based on the nonlinear alternative of Leray-Schauder. To illustrate the results, some examples are included. Copyright (C) 2014 John Wiley & Sons, Ltd.