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


DOĞAN A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.39, ss.1634-1645, 2016 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 39 Konu: 7
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1002/mma.3258
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Sayfa Sayısı: ss.1634-1645

Özet

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.