Stability and attractivity of solutions of differential equations with impulses at fixed times

S.Sivasundaram; S.Vassilyev

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Stability and attractivity of solutions of differential equations with impulses at fixed times

机译：固定时间带脉冲的微分方程解的稳定性和吸引性

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In this paper we consider the dynamics of solutions of impulsive differential equations with fixed time moments of impulsive effects on the basis of comparison methods and vector Lyapunov functions. We propose sufficient conditions on the following dynamic properties: stability, attractivity, and some combinations of them.

机译：本文在比较方法和矢量李雅普诺夫函数的基础上，考虑了具有固定脉冲效应时刻的脉冲微分方程解的动力学。我们提出以下动态属性的充分条件：稳定性，吸引力，以及它们的一些组合。

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《International journal of stochastic analysis》 |2000年第1期|共8页
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S.Sivasundaram; S.Vassilyev;
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中图分类应用数学;
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7. Stability and attractivity of solutions of differential equations with impulses at fixed times [O] . S. Sivasundaram, S. Vassilyev 2000

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8. Lyapunov stability for partial differential equations. Part 1 - Lyapunov stability theory and the stability of solutions to partial differential equations. Part 2 - Contraction groups and equivalent norms [R] . Buis, G. R., Eisen, M. M., Vogt, W. G. 1968

机译：偏微分方程的Lyapunov稳定性。第1部分 - Lyapunov稳定性理论和偏微分方程解的稳定性。第2部分 - 收缩组和等效规范

Stability and attractivity of solutions of differential equations with impulses at fixed times

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