R. AGARWAL
,
S. HRISTOVA
,
P. KOPANOV
. 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
.
DOI: 10.1016/S0252-9602(17)30053-X
[1] Agarwal R, Hristova S, O'Regan D. Exponential stability for differential equations with random impulses at random times. Adv Diff Eq, 2013, 2013
[2] Agarwal R, Hristova S, O'Regan D. A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations. Fract Calc Appl Anal, 2016, 9:290-318
[3] Anguraj A, Vinodkumar A. Existence, uniqueness and stability results of random impulsive semilinear differential systems. Nonlinear Anal Hybrid Syst, 2010, 3:475-483
[4] Gowrisankar M, Mohankumar P, Vinodkumar A. Stability results of random impulsive semilinear differential equations. Acta Math Sci, 2014, 34B(4):1055-1071
[5] Hristova S. Qualitative Investigations and Approximate Methods for Impulsive Differential Equations. Nova Sci Publ, 2009
[6] Lakshmikantham V, Bainov D, Simeonov P. Theory of Impulsive Differential Equations. Singapore:World Scientific, 1989
[7] Samoilenko A M, Perestyuk N A. Impulsive Differential Equations. Singapore:World Scientific, 1995
[8] Vinodkumar A. Existence and uniqueness of solutions for random impulsive differential equation. Malaya J Matematik, 2012, 1(1):813
[9] Vinodkumar A, Malar K, Gowrisankar M, Mohankumar P. Existence, uniqueness and stability of random impulsive fractional differential equations. Acta Math Sci, 2016, 36B(2):428-442
[10] Sanz-Serna J M, Stuart A M. Ergodicity of dissipative differential equations subject to random impulses. J Diff Equ, 1999, 155:262-284
[11] Wu S, Hang D, Meng X. p-moment stability of stochastic equations with jumps. Appl Math Comput, 2004, 152:505-519
[12] Wu H, Sun J. p-moment stability of stochastic differential equations with impulsive jump and Markovian switching. Automatica, 2006, 42:1753-1759
[13] Yang J, Zhong S, Luo W. Mean square stability analysis of impulsive stochastic differential equations with delays. J Comput Appl Math, 2008, 216(2):474-483
