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Impulsive differential equations with Gamma distributed moments of impulses and p-moment exponential stability |
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| Authors: | R. AGARWAL,S. HRISTOVA,P. KOPANOV,D. O&#x Regan |
| Affiliation: | 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 |
| Abstract: | 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. |
| Keywords: | impulses Gamma distributed moments of impulses p-moment exponential stability Lyapunov functions 34F05 34A37 34D20 |
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