(h₀, h)-BOUNDEDNESS OF THE SOLUTIONS OF DIFFERENTIAL SYSTEMS WITH IMPULSES

(h₀, h)-BOUNDEDNESS OF THE SOLUTIONS OF DIFFERENTIAL SYSTEMS WITH IMPULSES

In the present paper the question of boundedness of the solutions of systems of differential equations with impulses in terms of two measures is considered. In the investigations piecewise continuous auxiliary functions are used which are an analogue of the classical Lyapunov's functions. The i...

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Veröffentlicht in:Publicacions matemàtiques 1990-01, Vol.34 (2), p.225-239
Hauptverfasser: Kulev, G.K., Bainov, D.D.
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Differentials
Ecuaciones diferenciales con impulso
Liapunov functions
Lipschitz condition
Mathematical functions
Mathematical theorems
Mathematics
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Zusammenfassung:In the present paper the question of boundedness of the solutions of systems of differential equations with impulses in terms of two measures is considered. In the investigations piecewise continuous auxiliary functions are used which are an analogue of the classical Lyapunov's functions. The ideas of Lyapunov's second method are combined with the newest ideas of the theory of stability and boundedness of the solutions of systems of differential equations.
ISSN:0214-1493
2014-4350
DOI:10.5565/PUBLMAT_34290_01