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...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2019
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet - késleltetett, Differenciálegyenlet - nemlineáris |
| doi: | 10.14232/ejqtde.2019.1.43 |
| Online Access: | http://acta.bibl.u-szeged.hu/62121 |
| Tartalmi kivonat: | 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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| Terjedelem/Fizikai jellemzők: | 1-17 |
| ISSN: | 1417-3875 |