二阶非线性中立型时标动态方程趋向于零的非振动解的存在性

Existence of Nonoscillatory Solutions Tending to Zero of Second-Order Neutral Dynamic Equations on Time Scales

考虑一类二阶非线性中立型时标动态方程,利用Krasnoselskii不动点定理给出方程存在趋向于零的非振动解的一些充分条件.另外,提供两个例子说明这些结论的应用.

In this paper,a class of second-order nonlinear neutral dynamic equations on time scales are considered.We present some sufficient conditions for the existence of nonoscillatory solutions tending to zero of the equations by employing a Banach space and Krasnoselskii's fixed point theorem.In addition,two examples are provided to illustrate the applications of the conclusions.