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...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Medved' Milan
Pospíšil Michal
Dokumentumtípus: Folyóirat
Megjelent: 2019
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet - késleltetett, Differenciálegyenlet - nemlineáris
doi:10.14232/ejqtde.2019.1.43

Online Access:http://acta.bibl.u-szeged.hu/62121
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520 3 |a 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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