Existence of Positive Solutions for Nonlinear Multipoint P-Laplacian Dynamic Equations on Time Scales
Existence of Positive Solutions for Nonlinear Multipoint P-Laplacian Dynamic Equations on Time Scales
Abstract
In this paper, we investigate the existence of positive solutions for nonlinear multipoint boundary value problems for p-Laplacian dynamic equations on time scales with the delta derivative of the nonlinear term. Sufficient assumptions are obtained for existence of at least twin or arbitrary even positive solutions to some boundary value problems. Our results are achieved by appealing to the fixed point theorems of Avery-Henderson. As an application, an example to demonstrate our results is given.
Description
Keywords
Time Scales, Boundary Value Problem, P-Laplacian, Positive Solutions, Fixed Point Theorem, Matematik, positive solutions, Fixed point theorem, boundary value problem, p-Laplacian, Time scales, Applications of operator theory to differential and integral equations, time scales, fixed point theorem, Positive solutions to nonlinear boundary value problems for ordinary differential equations, \(p\)-Laplacian, Dynamic equations on time scales or measure chains, Nonlocal and multipoint boundary value problems for ordinary differential equations
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Scopus Q
Volume
44
Issue
3
Start Page
676
End Page
697