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Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (2): 382-387.

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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)

Abstract

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

CLC Number:

O175

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.

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

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