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http://dx.doi.org/10.14317/jami.2014.447

BOUNDED OSCILLATION FOR SECOND-ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS

Song, Xia (Department of Mathematics, Binzhou University)
Zhang, Quanxin (Department of Mathematics, Binzhou University)

Publication Information

Journal of applied mathematics & informatics / v.32, no.3_4, 2014 , pp. 447-454 More about this Journal

Abstract

Two necessary and sufficient conditions for the oscillation of the bounded solutions of the second-order nonlinear delay differential equation $$$(a(t)x^{\prime}(t))^{\prime}+q(t)f(x[{\tau}(t)$ $]$ $)=0$$$ are obtained by constructing the sequence of functions and using inequality technique.

Keywords

Delay differential equations; oscillation criteria; bounded solutions; necessary and sufficient conditions;

Citations & Related Records

Reference

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