(h0, h)-boundedness of the solutions of differential systems with impulses.

G. K. Kulev; D. D. Bainov

Publicacions Matemàtiques (1990)

  • Volume: 34, Issue: 2, page 225-239
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Kulev, G. K., and Bainov, D. D.. "(h0, h)-boundedness of the solutions of differential systems with impulses.." Publicacions Matemàtiques 34.2 (1990): 225-239. <http://eudml.org/doc/41127>.

@article{Kulev1990,
abstract = {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.},
author = {Kulev, G. K., Bainov, D. D.},
journal = {Publicacions Matemàtiques},
keywords = {Ecuaciones diferenciales con impulso; second Lyapunov's method; boundedness; differential systems with impulses},
language = {eng},
number = {2},
pages = {225-239},
title = {(h0, h)-boundedness of the solutions of differential systems with impulses.},
url = {http://eudml.org/doc/41127},
volume = {34},
year = {1990},
}

TY - JOUR
AU - Kulev, G. K.
AU - Bainov, D. D.
TI - (h0, h)-boundedness of the solutions of differential systems with impulses.
JO - Publicacions Matemàtiques
PY - 1990
VL - 34
IS - 2
SP - 225
EP - 239
AB - 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.
LA - eng
KW - Ecuaciones diferenciales con impulso; second Lyapunov's method; boundedness; differential systems with impulses
UR - http://eudml.org/doc/41127
ER -

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