Differential equations with random Gamma distributed moments of non-instantaneous impulses and p-moment exponential stability

• Autorzy: Agarwal R. , Hristova S. , O’Regan D. , Kopanov P.

Identyfikatory

DOI

10.1515/dema-2018-0016

• Języki publikacji: EN

Abstrakty

EN

Nonlinear differential equations with impulses occurring at random time and acting noninstantaneously on finite intervals are studied. We consider the case when the time where the impulses occur is Gamma distributed. Lyapunov functions are applied to obtain sufficient conditions for the p-moment exponential stability of the trivial solution of the given system.

Słowa kluczowe

EN

fractional differential equations; random moments of impulses; non-instantaneous impulses; p-moment exponential stability

PL

równanie różniczkowe ułamkowe; impuls; stabilność wykładnicza

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2018
• Tom: Vol. 51, nr 1
• Strony: 151--170
• Opis fizyczny: Bibliogr. 23 poz., wykr.

Twórcy

autor

Agarwal R.

• Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX 78363, USA Distinguished University Professor of Mathematics, Florida Institute of Technology, Melbourne, FL 32901, USA

autor

Hristova S.

• Department of Applied Mathematics and Modeling, University of Plovdiv, Plovdiv, Bulgaria

autor

O’Regan D.

• School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

autor

Kopanov P.

• Department of Applied Mathematics and Modeling, University of Plovdiv, Plovdiv, Bulgaria

Bibliografia

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• [4] Hristova S., Stefanova K., Practical stability of impulsive differential equations with “supremum” by integral inequalities, Eur. J. Pure Appl. Math., 2012, 5, 30-44
• [5] Hristova S., Lipschitz stability for impulsive differential equations with “supremum“, Int. Electron. J. Pure Appl. Math., 2010, 1, 345-358
• [6] Hristova S., Georgieva A., Practical stability in terms of two measures for impulsive differential equations with “supremum”, Int. J. Differ. Equ., 2011, Article ID 703189
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• [22] Wang J. R., Feckan M., Zhou Y., Random noninstantaneous impulsive models for studying periodic evolution processes in pharmacotherapy, In: Luo A., Merdan H. (Eds.) Mathematical Modeling and Applications in Nonlinear Dynamics, Nonlinear Systems and Complexity, 2016, 14, 87-107
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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).