Turkish Journal of Mathematics
Article Title
Multiple positive solutions of nonlinear $m$-point dynamic equations for $p$-Laplacian on time scales
DOI
10.3906/mat-1503-23
Abstract
In this paper, we study the existence of positive solutions of a nonlinear $ m $-point $p$-Laplacian dynamic equation $$(\phi_p(x^\Delta(t)))^\nabla+w(t)f(t,x(t),x^\Delta(t))=0,\hspace{2cm} t_1< t 1.$ Sufficient conditions for the existence of at least three positive solutions of the problem are obtained by using a fixed point theorem. The interesting point is the nonlinear term $f$ is involved with the first order derivative explicitly. As an application, an example is given to illustrate the result.
Keywords
Time scales, boundary value problem, $p$-Laplacian, positive solutions, fixed point theorem
First Page
941
Last Page
959
Recommended Citation
DOĞAN, ABDÜLKADİR
(2016)
"Multiple positive solutions of nonlinear $m$-point dynamic equations for $p$-Laplacian on time scales,"
Turkish Journal of Mathematics: Vol. 40:
No.
5, Article 2.
https://doi.org/10.3906/mat-1503-23
Available at:
https://journals.tubitak.gov.tr/math/vol40/iss5/2
