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

Author

Listed:
  • Lingping Zhang

    (School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China)

  • Bo Du

    (School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China)

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.

Suggested Citation

  • Lingping Zhang & Bo Du, 2022. "Some New Existence Results for Positive Periodic Solutions to First-Order Neutral Differential Equations with Variable Coefficients," Mathematics, MDPI, vol. 10(20), pages 1-9, October.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3770-:d:940757
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    References listed on IDEAS

    as
    1. Huang, Chuangxia & Yang, Xiaoguang & Cao, Jinde, 2020. "Stability analysis of Nicholson’s blowflies equation with two different delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 201-206.
    2. Wei Chen & Lijuan Wang, 2012. "Positive Periodic Solutions of Nicholson-Type Delay Systems with Nonlinear Density-Dependent Mortality Terms," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, December.
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