"Multiple positive solutions of nonlinear $m$-point dynamic equations " by ABDÜLKADİR DOĞAN

Turkish Journal of Mathematics

Article Title

Multiple positive solutions of nonlinear $m$-point dynamic equations for $p$-Laplacian on time scales

Authors

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

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