EXISTENCE OF NONOSCILLATORY SOLUTIONS TO SECOND-ORDER NONLINEAR NEUTRAL DYNAMIC EQUATIONS ON TIME SCALES

被引：20

作者：

Gao, Jin ^{[1
]}

Wang, Qiru ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2013年 / 43卷 / 05期

关键词：

Second-order nonlinear neutral dynamic equations; time scales; nonoscillatory solutions; existence; Kranoselskii's fixed point theorem;

D O I：

10.1216/RMJ-2013-43-5-1521

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By employing Kranoselskii's fixed point theorem, we establish the existence of nonoscillatory solutions to the second- order nonlinear neutral dynamic equation [r(t)(x(t)+ p(t) x(g(t)))(Delta)](Delta) + f(t, x(h(t))) = 0 on a time scale. In particular, one interesting example is included to illustrate the versatility of our results.

引用

页码：1521 / 1535

页数：15

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