On the existence and exponential stability for differential equations with multiple constant delays and nonlinearity depending on fractional substantial integrals
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2019-06-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7548 |
| Summary: | 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. |
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| ISSN: | 1417-3875 |