Turkish Journal of Mathematics
Article Title
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.
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