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http://dx.doi.org/10.14317/jami.2013.027

PERIODIC SOLUTIONS FOR DUFFING TYPE p-LAPLACIAN EQUATION WITH MULTIPLE DEVIATING ARGUMENTS

Jiang, Ani (College of Mathematics and Computer Science, Hunan University of Arts and Science)

Publication Information

Journal of applied mathematics & informatics / v.31, no.1_2, 2013 , pp. 27-34 More about this Journal

Abstract

In this paper, we consider the Duffing type p-Laplacian equation with multiple deviating arguments of the form $({\varphi}_p(x^{\prime}(t)))^{\prime}+Cx^{\prime}(t)+go(t,x(t))+\sum_{k=1}^ngk(t,x(t-{\tau}_k(t)))=e(t)$ . By using the coincidence degree theory, we establish new results on the existence and uniqueness of periodic solutions for the above equation. Moreover, an example is given to illustrate the effectiveness of our results.

Keywords

p-Laplacian equation; Duffing type; deviating argument; periodic solution; coincidence degree;

Citations & Related Records

Reference

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