Eigenvalue Problems for Nonlinear Third-Order M-Point P-Laplacian Dynamic Equations on Time Scales
Eigenvalue Problems for Nonlinear Third-Order M-Point P-Laplacian Dynamic Equations on Time Scales
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.
Description
Keywords
Time Scales, Eigenvalue Problem, P-Laplacian, Nontrivial Solutions, Nonlinear Alternative of Leray-Schauder, Fixed Point Theorem, Dynamic equations on time scales or measure chains, Applications of operator theory to differential and integral equations, time scales, p-Laplacian, eigenvalue problem, Boundary eigenvalue problems for ordinary differential equations, solution
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Scopus Q
OpenCitations Citation Count
1
Volume
39
Issue
7
Start Page
1634
End Page
1645