ON THE EXISTENCE AND UNIQUENESS OF POSITIVE PERIODIC SOLUTIONS OF NEUTRAL DIFFERENTIAL EQUATIONS

被引：1

作者：

Gozen, Melek ^{[1
]}

机构：

[1] Van Yuzuncu Yil Univ, Fac Management, Dept Business Adm, Ercis Van, Turkiye

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2023年 / 7卷 / 03期

关键词：

Neutral differential equation; Positive periodic solutions; Time delays; Green's functions; STABILITY;

D O I：

10.23952/jnva.7.2023.3.03

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a nonlinear neutral differential equation of first order with iterative terms and constant time delays. We obtain new results on the existence and uniqueness of positive periodic solutions of the nonlinear neutral differential equation such that the solution depends on the functions of that the nonlinear neutral differential equation. The proof of the new results depends on some fixed point theorems and the Green's functions. We also provide a numerical example to demonstrate the conditions of the new results can be satisfied and applied.

引用

页码：367 / 379

页数：13

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