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.
@article{urn:eudml:doc:41127,
title = {(h0, h)-boundedness of the solutions of differential systems with impulses.},
journal = {Publicacions Matem\`atiques},
volume = {34},
year = {1990},
pages = {225-239},
zbl = {0719.34024},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41127}
}
Kulev, G. K.; Bainov, D. D. (h0, h)-boundedness of the solutions of differential systems with impulses.. Publicacions Matemàtiques, Tome 34 (1990) pp. 225-239. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41127/