Nonlinear Impulsive Differential Equations with Weighted Exponential or Ordinary Dichotomous Linear Part in a Banach Space
We consider nonlinear impulsive differential equations with ψ-exponential and ψ-ordinary dichotomous linear part in a Banach space. By the help of Banach’s fixed-point principle sufficient conditions are found for the existence of ψ-bounded solutions of these equations on R and R+.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2015/748607 |
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| _version_ | 1832562994675974144 |
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| author | Hristo Kiskinov Andrey Zahariev |
| author_facet | Hristo Kiskinov Andrey Zahariev |
| author_sort | Hristo Kiskinov |
| collection | DOAJ |
| description | We consider nonlinear impulsive differential equations with ψ-exponential and ψ-ordinary dichotomous linear part in a Banach space.
By the help of Banach’s fixed-point principle sufficient conditions are found for the existence
of ψ-bounded solutions of these equations on R and R+. |
| format | Article |
| id | doaj-art-0a238eb3a25d4958be624520e61af3d7 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-0a238eb3a25d4958be624520e61af3d72025-02-03T01:21:12ZengWileyInternational Journal of Differential Equations1687-96431687-96512015-01-01201510.1155/2015/748607748607Nonlinear Impulsive Differential Equations with Weighted Exponential or Ordinary Dichotomous Linear Part in a Banach SpaceHristo Kiskinov0Andrey Zahariev1Faculty of Mathematics and Informatics, University of Plovdiv, 236 Bulgaria Boulevard, 4003 Plovdiv, BulgariaFaculty of Mathematics and Informatics, University of Plovdiv, 236 Bulgaria Boulevard, 4003 Plovdiv, BulgariaWe consider nonlinear impulsive differential equations with ψ-exponential and ψ-ordinary dichotomous linear part in a Banach space. By the help of Banach’s fixed-point principle sufficient conditions are found for the existence of ψ-bounded solutions of these equations on R and R+.http://dx.doi.org/10.1155/2015/748607 |
| spellingShingle | Hristo Kiskinov Andrey Zahariev Nonlinear Impulsive Differential Equations with Weighted Exponential or Ordinary Dichotomous Linear Part in a Banach Space International Journal of Differential Equations |
| title | Nonlinear Impulsive Differential Equations with Weighted Exponential or Ordinary Dichotomous Linear Part in a Banach Space |
| title_full | Nonlinear Impulsive Differential Equations with Weighted Exponential or Ordinary Dichotomous Linear Part in a Banach Space |
| title_fullStr | Nonlinear Impulsive Differential Equations with Weighted Exponential or Ordinary Dichotomous Linear Part in a Banach Space |
| title_full_unstemmed | Nonlinear Impulsive Differential Equations with Weighted Exponential or Ordinary Dichotomous Linear Part in a Banach Space |
| title_short | Nonlinear Impulsive Differential Equations with Weighted Exponential or Ordinary Dichotomous Linear Part in a Banach Space |
| title_sort | nonlinear impulsive differential equations with weighted exponential or ordinary dichotomous linear part in a banach space |
| url | http://dx.doi.org/10.1155/2015/748607 |
| work_keys_str_mv | AT hristokiskinov nonlinearimpulsivedifferentialequationswithweightedexponentialorordinarydichotomouslinearpartinabanachspace AT andreyzahariev nonlinearimpulsivedifferentialequationswithweightedexponentialorordinarydichotomouslinearpartinabanachspace |