On the asymptotic properties of the solutions of systems of differential equations with impulse effect (Q1176157)

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scientific article; zbMATH DE number 13538
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On the asymptotic properties of the solutions of systems of differential equations with impulse effect
scientific article; zbMATH DE number 13538

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    On the asymptotic properties of the solutions of systems of differential equations with impulse effect (English)
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    25 June 1992
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    The initial value problem for a nonlinear system with impulse effect is considered. Sufficient conditions for convergence of its solution are obtained. The problem of finding a solution is reduced to finding a fixed point for an operator and the Schauder-Tychonov theorem for existence of such a fixed point is applied for construction of the main results.
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    initial value problem
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    nonlinear system with impulse effect
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    convergence
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    fixed point
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    Schauder-Tychonov theorem
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