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

数学物理学报 ›› 2021, Vol. 41 ›› Issue (2): 382-387.

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

邱仰聪¹,王其如^2,*()

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

收稿日期:2020-02-21 出版日期:2021-04-26 发布日期:2021-04-29
通讯作者: 王其如 E-mail:mcswqr@mail.sysu.edu.cn
基金资助:
国家自然科学基金(11671406);国家自然科学基金(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);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）(2018-KJZX039)

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

Yangcong Qiu¹,Qiru Wang^2,*()

¹ School of Humanities, Shunde Polytechnic, Guangdong Foshan 528333
² School of Mathematics, Sun Yat-sen University, Guangzhou 510275

Received:2020-02-21 Online:2021-04-26 Published:2021-04-29
Contact: Qiru Wang E-mail:mcswqr@mail.sysu.edu.cn
Supported by:
the NSFC(11671406);the NSFC(12071491);the Natural Science Program for Young Creative Talents of Innovation Enhancing College Project of Department of Education of Guangdong Province(2017GKQNCX111);the Natural Science Program for Young Creative Talents of Innovation Enhancing College Project of Department of Education of Guangdong Province(2018-KJZX039)

摘要/Abstract

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.

关键词: 非振动解, 趋向于零, 中立型动态方程, 二阶, 时标

Abstract:

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.

Key words: Nonoscillatory solutions, Tending to zero, Neutral dynamic equations, Second-order, Time scales

中图分类号:

O175

邱仰聪,王其如. 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[J]. 数学物理学报, 2021, 41(2): 382-387.

Yangcong Qiu,Qiru Wang. Existence of Nonoscillatory Solutions Tending to Zero of Second-Order Neutral Dynamic Equations on Time Scales[J]. Acta mathematica scientia,Series A, 2021, 41(2): 382-387.

参考文献 13

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