[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2012.30.1_2.015

OSCILLATION THEOREMS FOR SECOND-ORDER MIXED-TYPE NEUTRAL DYNAMIC EQUATIONS ON SOME TIME SCALES

Sun, Jing (School of Information and Electronic Engineering, Shandong Institute of Business and Technology)

Publication Information

Journal of applied mathematics & informatics / v.30, no.1_2, 2012 , pp. 15-26 More about this Journal

Abstract

Some oscillation results are presented for the second-order neutral dynamic equation of mixed type on a time scale unbounded above $$r(t)[x(t)+p_1(t)x(t-{\tau}_1)+p_2(t)x(t+{\tau}_2)]^{\Delta}$^{\Delta}+q_1(t)x(t-{\tau}_3)+q_2(t)x(t+{\tau}_4)=0.$ These criteria can be applied when $\mathbb{T}=\mathbb{R}$ , $\mathbb{T}=h{\mathbb{Z}}$ and $\mathbb{T}=\mathbb{P}_{a,b}$ . Two examples are also provided to illustrate the main results.

Keywords

Oscillation; neutral dynamic equations of mixed type; second-order;

Citations & Related Records

Reference

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