## Differential Systems Involving Impulses |

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Algebraic Analysis Applications arbitrary Assume asymptotically stable Banach space bounded variation BV(J called Chapter Choose Clearly compact complex Consider contains continuous function corresponding defined Definition denote derivative differential equations differential systems discontinuities distribution du(s Edited equivalent established Example exists fact Finite fixed function of bounded Further Geometry given Groups Hence holds implies impulsive inequality integral integral equation interval Lemma linear ly(t matrix measure differential equations Methods non-negative nonlinear null solution numbers obtain optimal control ordinary differential Pandit perturbations positive constant Proceedings Proof properties prove relative Representations respect right-continuous function satisfies scalar solution solution of 5.1 solution y(t space stability sufficiently Suppose Theorem Theorem 3.1 Theory uniform uniformly unique values VIII