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Volume 10
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Article

Some New Existence Results for Positive Periodic Solutions to First-Order Neutral Differential Equations with Variable Coefficients

by
Lingping Zhang
and
Bo Du
*
School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China
*
Author to whom correspondence should be addressed.
Mathematics 2022, 10(20), 3770; https://doi.org/10.3390/math10203770
Submission received: 21 September 2022 / Revised: 10 October 2022 / Accepted: 11 October 2022 / Published: 13 October 2022
(This article belongs to the Special Issue Nonlinear Differential Equations and Functional Analysis: Theory and Applications)
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Abstract

In this article, we deal with some new existence results for positive periodic solutions for a class of neutral functional differential equations by employing Krasnoselskii’s fixed-point theorem and the properties of a neutral operator. Our results generalize corresponding works from the past. An example is given to show the feasibility and application of the obtained results.
Keywords: first-order; fixed point theorem; existence; positive periodic solution first-order; fixed point theorem; existence; positive periodic solution

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MDPI and ACS Style

Zhang, L.; Du, B. Some New Existence Results for Positive Periodic Solutions to First-Order Neutral Differential Equations with Variable Coefficients. Mathematics 2022, 10, 3770. https://doi.org/10.3390/math10203770

AMA Style

Zhang L, Du B. Some New Existence Results for Positive Periodic Solutions to First-Order Neutral Differential Equations with Variable Coefficients. Mathematics. 2022; 10(20):3770. https://doi.org/10.3390/math10203770

Chicago/Turabian Style

Zhang, Lingping, and Bo Du. 2022. "Some New Existence Results for Positive Periodic Solutions to First-Order Neutral Differential Equations with Variable Coefficients" Mathematics 10, no. 20: 3770. https://doi.org/10.3390/math10203770

APA Style

Zhang, L., & Du, B. (2022). Some New Existence Results for Positive Periodic Solutions to First-Order Neutral Differential Equations with Variable Coefficients. Mathematics, 10(20), 3770. https://doi.org/10.3390/math10203770

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