Qualitative Analysis of Integro-Differential Equations with Variable Retardation
Abstract
The paper is concerned with a class of nonlinear time-varying retarded integro-differential equations (RIDEs). By the Lyapunov-Krasovskiĭ functional method, two new results with weaker conditions related to uniform stability (US), uniform asymptotic stability (UAS), integrability, boundedness, and boundedness at infinity of solutions of the RIDEs are given. For illustrative purposes, two examples are provided. The study of the results of this paper shows that the given theorems are not only applicable to time-varying linear RIDEs, but also applicable to time-varying nonlinear RIDEs.
Recommended Citation
M. Bohner and O. Tunç, "Qualitative Analysis of Integro-Differential Equations with Variable Retardation," Discrete and Continuous Dynamical Systems - Series B, vol. 27, no. 2, pp. 639 - 657, American Institute of Mathematical Sciences (AIMS), Feb 2022.
The definitive version is available at https://doi.org/10.3934/DCDSB.2021059
Department(s)
Mathematics and Statistics
Keywords and Phrases
Boundedness at infinity; Integrability; Lyapunov-Krasovskiĭ functional; Stability; Volterra RIDEs
International Standard Serial Number (ISSN)
1531-3492
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2022 American Institute of Mathematical Sciences (AIMS), All rights reserved.
Publication Date
01 Feb 2022
