Solutions of Linear Impulsive Differential Systems Bounded on the Entire Real Axis
<p/> <p>We consider the problem of existence and structure of solutions bounded on the entire real axis of nonhomogeneous linear impulsive differential systems. Under assumption that the corresponding homogeneous system is exponentially dichotomous on the semiaxes <inline-formula>&...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2010/494379 |
| Summary: | <p/> <p>We consider the problem of existence and structure of solutions bounded on the entire real axis of nonhomogeneous linear impulsive differential systems. Under assumption that the corresponding homogeneous system is exponentially dichotomous on the semiaxes <inline-formula><graphic file="1687-1847-2010-494379-i1.gif"/></inline-formula> and <inline-formula><graphic file="1687-1847-2010-494379-i2.gif"/></inline-formula> and by using the theory of pseudoinverse matrices, we establish necessary and sufficient conditions for the indicated problem.</p> |
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| ISSN: | 1687-1839 1687-1847 |