On the existence and exponential stability for differential equations with multiple constant delays and nonlinearity depending on fractional substantial integrals

Medved', Milan and Pospíšil, Michal: On the existence and exponential stability for differential equations with multiple constant delays and nonlinearity depending on fractional substantial integrals. Electronic journal of qualitative theory of differential equations 43. pp. 1-17. (2019)

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Abstract

An existence result is proved for systems of differential equations with multiple constant delays, time-dependent coefficients and the right-hand side depending on fractional substantial integrals. Results on exponential stability for such equations are proved for linearly bounded nonlinearities and power type nonlinearities. An illustrative example is also given.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 43
Page Range: pp. 1-17
ISSN: 1417-3875
DOI: https://doi.org/10.14232/ejqtde.2019.1.43
Uncontrolled Keywords: Differenciálegyenlet - késleltetett, Differenciálegyenlet - nemlineáris
Additional Information: Bibliogr.: p. 15-17. ; összefoglalás angol nyelven
Date Deposited: 2019. Sep. 27. 13:46
Last Modified: 2019. Sep. 27. 13:46
URI: http://acta.bibl.u-szeged.hu/id/eprint/62121

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