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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.
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 -