Positive periodic solution for third-order singular neutral differential equation with time-dependent delay

Yun Xin; Hao Wang; Yun Xin; Hao Wang

doi:10.3934/math.2020462

AIMS Mathematics

2020, Volume 5, Issue 6: 7234-7251. doi: 10.3934/math.2020462

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Research article

Positive periodic solution for third-order singular neutral differential equation with time-dependent delay

Yun Xin ^{1
,
,},
Hao Wang ²

1.
College of Computer Science and Technology, Henan Polytechnic University, Jiaozuo 454000, China
2.
School of Physics and Information, Henan Polytechnic University, Jiaozuo 454000, China

Received: 19 July 2020 Accepted: 07 September 2020 Published: 15 September 2020
MSC : 34B16, 34B18, 34C25

In this paper, we investigate a class of third-order singular neutral differential equations with time-dependent delay. Applying Krasnoselskiios fixed point theorem, we prove the existence results of a positive periodic solution for this neutral equation.
- positive periodic solution,
- neutral operator,
- singularity,
- Krasnoselskii’s fixed point theorem,
- two available operators
Citation: Yun Xin, Hao Wang. Positive periodic solution for third-order singular neutral differential equation with time-dependent delay[J]. AIMS Mathematics, 2020, 5(6): 7234-7251. doi: 10.3934/math.2020462

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Abstract

In this paper, we investigate a class of third-order singular neutral differential equations with time-dependent delay. Applying Krasnoselskiios fixed point theorem, we prove the existence results of a positive periodic solution for this neutral equation.

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