Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses
In this paper, using the theory of analytic semigroup and fractional power of closed operators we study the existence of solutions for a class of semi-linear abstract impulsive differential equations with not instantaneous impulses. Some applications involving partial differential equations with imp...
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| Veröffentlicht in: | Applied mathematics and computation 2013-02, Vol.219 (12), p.6743-6749 |
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| container_end_page | 6749 |
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| container_issue | 12 |
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| container_title | Applied mathematics and computation |
| container_volume | 219 |
| creator | Pierri, Michelle O’Regan, Donal Rolnik, Vanessa |
| description | In this paper, using the theory of analytic semigroup and fractional power of closed operators we study the existence of solutions for a class of semi-linear abstract impulsive differential equations with not instantaneous impulses. Some applications involving partial differential equations with impulses are presented. |
| doi_str_mv | 10.1016/j.amc.2012.12.084 |
| format | Article |
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| fulltext | fulltext |
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| ispartof | Applied mathematics and computation, 2013-02, Vol.219 (12), p.6743-6749 |
| issn | 0096-3003 1873-5649 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1323258376 |
| source | Elsevier ScienceDirect Journals |
| subjects | Analytic [formula omitted]-semigroup Computation Differential equations Group theory Impulses Impulsive differential equation Mathematical analysis Mathematical models Mild solution Operators Partial differential equations |
| title | Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses |
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