Boundedness and Stability of Impulsively Perturbed Delay Differential Equations
نویسنده
چکیده
It is characteristic for a linear ordinary differential equation that if any solution is bounded on the half-line for any bounded right-hand side then a solution of the corresponding homogeneous equation tends to zero exponentially [1]. The connection of boundedness with exponential behavior of solutions for impulsive differential equations is studied in [2,3] and many other papers. It turns out that for impulsive equations sometimes we can avoid checking the boundedness of solutions for any bounded right-hand side. In particular the following result is valid [4].
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