Journal of Guangxi Normal University(Natural Science Edition) ›› 2025, Vol. 43 ›› Issue (5): 158-166.doi: 10.16088/j.issn.1001-6600.2024091102

• Mathematics and Statistics • Previous Articles     Next Articles

Boundedness and Attractiveness of a Class of Nonlinear Neutral Delay Differential Equations

LI Yang, XIAO Yuru, CHEN Guiling*   

  1. School of Mathematics, Southwest Jiaotong University, Chengdu Sichuan 610031, China
  • Received:2024-09-11 Revised:2024-11-15 Online:2025-09-05 Published:2025-08-05

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Abstract: The boundedness and attractiveness of a class of nonlinear neutral delay differential equations are studied by employing Krasnoselskii's fixed point theorem. By introducing auxiliary functions and using an integral factor, the differential equation is transformed into an integral equation. Then, the Krasnoselskii's fixed point theorem is used to discuss the boundedness and attractiveness of the transformed equation. Finally, the properties of auxiliary functions are used to discuss the boundedness and attractiveness of the original equation. The results obtained in this paper improve the corresponding results in the existing literatures, and an example is provided to illustrate the effectiveness of the obtained results.

Key words: Krasnoselskii's fixed point theorem, existence, boundedness, attractiveness

CLC Number:  O175
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