Stability of the solutions of impulsive integro-differential equations in terms of two measures

Stability of the solutions of impulsive integro-differential equations in terms of two measures

In the present paper the stability of the solutions of impulsive systems of integro-differential equations of Volterra type with fixed moments of impulse effect in terms of two piecewise continuous measures is investigated. The investigations are carried out by means of piecewise continuous function...

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Veröffentlicht in:International journal of systems science 1990-11, Vol.21 (11), p.2225-2239
Hauptverfasser: KULEV, G. K., BAINOV, D. D.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Integral equations
Mathematical analysis
Mathematics
Sciences and techniques of general use
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Zusammenfassung:In the present paper the stability of the solutions of impulsive systems of integro-differential equations of Volterra type with fixed moments of impulse effect in terms of two piecewise continuous measures is investigated. The investigations are carried out by means of piecewise continuous functions of the same type as the Lyapunov functions using differential inequalities for piecewise continuous functions.
ISSN:0020-7721
1464-5319
DOI:10.1080/00207729008910544