IMPULSIVE DIFFERENTIAL EQUATIONS WITH GAMMA DISTRIBUTED MOMENTS OF IMPULSES AND P-MOMENT EXPONENTIAL STABILITY

doi:10.1016/S0252-9602(17)30053-X

数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (4): 985-997.doi: 10.1016/S0252-9602(17)30053-X

IMPULSIVE DIFFERENTIAL EQUATIONS WITH GAMMA DISTRIBUTED MOMENTS OF IMPULSES AND P-MOMENT EXPONENTIAL STABILITY

R. AGARWAL¹, S. HRISTOVA², P. KOPANOV², D. O'REGAN³

1. Department of Mathematics, Texas A & M University-Kingsville, Kingsville, TX 78363, USA;
2. Plovdiv University, Tzar Asen 24, 4000 Plovdiv, Bulgaria;
3. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

收稿日期:2016-05-13 修回日期:2016-07-22 出版日期:2017-08-25 发布日期:2017-08-25
通讯作者: R.AGARWAL, E-mail:Ravi.Agarwal@tamuk.edu E-mail:Ravi.Agarwal@tamuk.edu
作者简介:S.HRISTOVA,E-mail:snehri@gmail.com;D.O'REGAN,E-mail:donal.oregan@nuigalway.ie

IMPULSIVE DIFFERENTIAL EQUATIONS WITH GAMMA DISTRIBUTED MOMENTS OF IMPULSES AND P-MOMENT EXPONENTIAL STABILITY

R. AGARWAL¹, S. HRISTOVA², P. KOPANOV², D. O'REGAN³

1. Department of Mathematics, Texas A & M University-Kingsville, Kingsville, TX 78363, USA;
2. Plovdiv University, Tzar Asen 24, 4000 Plovdiv, Bulgaria;
3. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

Received:2016-05-13 Revised:2016-07-22 Online:2017-08-25 Published:2017-08-25
Contact: R.AGARWAL, E-mail:Ravi.Agarwal@tamuk.edu E-mail:Ravi.Agarwal@tamuk.edu
About author:S.HRISTOVA,E-mail:snehri@gmail.com;D.O'REGAN,E-mail:donal.oregan@nuigalway.ie

摘要/Abstract

摘要：

Differential equations with impulses at random moments are set up and investigated. We study the case of Gamma distributed random moments of impulses. Several properties of solutions are studied based on properties of Gammma distributions. Some sufficient conditions for p-moment exponential stability of the solutions are given.

关键词: impulses, Gamma distributed moments of impulses, p-moment exponential stability, Lyapunov functions

Abstract:

Key words: impulses, Gamma distributed moments of impulses, p-moment exponential stability, Lyapunov functions

R. AGARWAL, S. HRISTOVA, P. KOPANOV, D. O'REGAN. IMPULSIVE DIFFERENTIAL EQUATIONS WITH GAMMA DISTRIBUTED MOMENTS OF IMPULSES AND P-MOMENT EXPONENTIAL STABILITY[J]. 数学物理学报(英文版), 2017, 37(4): 985-997.

R. AGARWAL, S. HRISTOVA, P. KOPANOV, D. O'REGAN. IMPULSIVE DIFFERENTIAL EQUATIONS WITH GAMMA DISTRIBUTED MOMENTS OF IMPULSES AND P-MOMENT EXPONENTIAL STABILITY[J]. Acta mathematica scientia,Series B, 2017, 37(4): 985-997.

参考文献

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IMPULSIVE DIFFERENTIAL EQUATIONS WITH GAMMA DISTRIBUTED MOMENTS OF IMPULSES AND P-MOMENT EXPONENTIAL STABILITY

IMPULSIVE DIFFERENTIAL EQUATIONS WITH GAMMA DISTRIBUTED MOMENTS OF IMPULSES AND P-MOMENT EXPONENTIAL STABILITY

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