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

作　　者：邱仰聪[1] 王其如[2] Qiu Yangcong;Wang Qiru(School of Humanities,Shunde Polytechnic,Guangdong Foshan 528333;School of Mathematics,Sun Yat-sen University,Guangzhou 510275)

机构地区：[1]顺德职业技术学院人文学院,广东佛山528333 [2]中山大学数学学院,广州510275

出　　处：《数学物理学报（A辑）》2021年第2期382-387,共6页Acta Mathematica Scientia

基　　金：国家自然科学基金(11671406,12071491);广东省教育厅“创新强校工程”青年创新人才类项目(自然科学)(2017GKQNCX111,2018-KJZX039)。

摘　　要：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.

关 键 词：非振动解 趋向于零 中立型动态方程 二阶 时标 

分 类 号：O175[理学—数学]