Existence, uniqueness and stability results of random impulsive semilinear differential systems (Q708100)
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scientific article; zbMATH DE number 5798063
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence, uniqueness and stability results of random impulsive semilinear differential systems |
scientific article; zbMATH DE number 5798063 |
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Existence, uniqueness and stability results of random impulsive semilinear differential systems (English)
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11 October 2010
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By relaxing the linear growth condition, the authors study the existence and uniqueness of solutions of random impulsive semi-linear differential systems. Sufficient conditions for stability, through a continuous dependence on the initial conditions, and exponential stability of such systems are found, and an example illustrates the theoretical results.
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random impulses
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semi-linear differential systems
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exponential stability
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contraction principle
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