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

S. Sivasundaram | Zendy; S. N. Vassilyev | Zendy

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

Author(s) -

S. Sivasundaram,

S. N. Vassilyev

Publication year - 1999

Publication title -

international journal of stochastic analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-3340

pISSN - 2090-3332

DOI - 10.1155/s1048953300000083

Subject(s) - mathematics , stability (learning theory) , differential equation , lyapunov function , fixed point , mathematical analysis , basis (linear algebra) , nonlinear system , geometry , physics , quantum mechanics , machine learning , computer science

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

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