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In this paper we develop useful relations which estimate the difference between the solutions of nonlinear impulsive differential systems with different initial values. Then we obtain the converse $h$-stability theorem of Massera's type for the nonlinear impulsive systems by employing the $t_\infty$-similarity of the associated impulsive variational systems and relations.
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참고문헌 (22)
참고문헌 신청
D. D. Bainov / 1994 / Kinematical similarity and exponential dichotomy of linear abstract impulsive differential equations / Internat. J. Theoret. Phys 33(2):487~497
D. D. Bainov / 1989 / Systems with Impulse Effect: Stability, Theory and Applications / Ellis Horwood Limited
D. D. Bainov / 1995 / Impulsive Differential Equations: Asymptotic Properties of the Solutions / World Scientific Publishing Co
S. K. Choi / 2015 / Variationally stable impulsive differential systems / Dyn. Syst 30(4):435~449
최성규 / 2011 / h-stability of linear impulsive differential equations via similarity / 충청수학회지 24(2):393~400
D. D. Bainov / 1989 / Systems with Impulse Effect: Stability, Theory and Applications / Ellis Horwood Limited
D. D. Bainov / 1995 / Impulsive Differential Equations: Asymptotic Properties of the Solutions / World Scientific Publishing Co
S. K. Choi / 2015 / Variationally stable impulsive differential systems / Dyn. Syst 30(4):435~449
최성규 / 2011 / h-stability of linear impulsive differential equations via similarity / 충청수학회지 24(2):393~400
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