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Zbl 1204.34040
Boichuk, Alexandr; Langerová, Martina; Škor{\'\i}ková, Jaroslava
Solutions of linear impulsive differential systems bounded on the entire real axis. (English)
[J] Adv. Difference Equ. 2010, Article ID 494379, 10 p. (2010). ISSN 1687-1847/e

Summary: We consider the problem of existence and structure of solutions bounded on the entire real axis of nonhomogeneous linear impulsive differential systems. Under the assumption that the corresponding homogeneous system is exponentially dichotomous on the semiaxes $\Bbb R_{ - }$ and $\Bbb R_{+}$ and by using the theory of pseudoinverse matrices, we establish necessary and sufficient conditions for the indicated problem.

MSC 2000:: *34C11 Qualitative theory of solutions of ODE: Growth, etc.
34A37 Differential equations with impulses
34A30 Linear ODE and systems

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