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, sa.7, ss.1634-1645, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 7
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1002/mma.3258
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1634-1645
  • Anahtar Kelimeler: 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 Üniversitesi Adresli: Evet

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.