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 |
| _version_ | 1818646321452548096 |
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| author | Boichuk Alexandr Langerová Martina Škoríková Jaroslava |
| author_facet | Boichuk Alexandr Langerová Martina Škoríková Jaroslava |
| author_sort | Boichuk Alexandr |
| collection | DOAJ |
| description | <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> |
| first_indexed | 2024-12-17T00:44:47Z |
| format | Article |
| id | doaj.art-28c2bce132814d168e6324a176569740 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-12-17T00:44:47Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-28c2bce132814d168e6324a1765697402022-12-21T22:09:55ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-0120101494379Solutions of Linear Impulsive Differential Systems Bounded on the Entire Real AxisBoichuk AlexandrLangerová MartinaŠkoríková Jaroslava<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>http://www.advancesindifferenceequations.com/content/2010/494379 |
| spellingShingle | Boichuk Alexandr Langerová Martina Škoríková Jaroslava Solutions of Linear Impulsive Differential Systems Bounded on the Entire Real Axis Advances in Difference Equations |
| title | Solutions of Linear Impulsive Differential Systems Bounded on the Entire Real Axis |
| title_full | Solutions of Linear Impulsive Differential Systems Bounded on the Entire Real Axis |
| title_fullStr | Solutions of Linear Impulsive Differential Systems Bounded on the Entire Real Axis |
| title_full_unstemmed | Solutions of Linear Impulsive Differential Systems Bounded on the Entire Real Axis |
| title_short | Solutions of Linear Impulsive Differential Systems Bounded on the Entire Real Axis |
| title_sort | solutions of linear impulsive differential systems bounded on the entire real axis |
| url | http://www.advancesindifferenceequations.com/content/2010/494379 |
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