Mild solutions for non-autonomous impulsive semi-linear differential equations with iterated deviating arguments
In this work, we consider an impulsive non-autonomous semi-linear equation with iterated deviating arguments in a Banach space. We establish the existence and uniqueness of a mild solution. Also we present an example that illustrates our main result.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/222/abstr.html |
| _version_ | 1818538916748197888 |
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| author | Alka Chadha Dwijendra N. Pandey |
| author_facet | Alka Chadha Dwijendra N. Pandey |
| author_sort | Alka Chadha |
| collection | DOAJ |
| description | In this work, we consider an impulsive non-autonomous semi-linear
equation with iterated deviating arguments in a Banach space.
We establish the existence and uniqueness of a mild solution.
Also we present an example that illustrates our main result. |
| first_indexed | 2024-12-11T21:35:10Z |
| format | Article |
| id | doaj.art-9a07fbc22f744ad0928d3a61d68c8f88 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T21:35:10Z |
| publishDate | 2015-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-9a07fbc22f744ad0928d3a61d68c8f882022-12-22T00:50:02ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-08-012015222,114Mild solutions for non-autonomous impulsive semi-linear differential equations with iterated deviating argumentsAlka Chadha0Dwijendra N. Pandey1 Indian Institute of Technology, Roorkee, India Indian Institute of Technology, Roorkee, India In this work, we consider an impulsive non-autonomous semi-linear equation with iterated deviating arguments in a Banach space. We establish the existence and uniqueness of a mild solution. Also we present an example that illustrates our main result.http://ejde.math.txstate.edu/Volumes/2015/222/abstr.htmlIterated deviated argumentanalytic semigroupBanach fixed point theoremimpulsive differential equation |
| spellingShingle | Alka Chadha Dwijendra N. Pandey Mild solutions for non-autonomous impulsive semi-linear differential equations with iterated deviating arguments Electronic Journal of Differential Equations Iterated deviated argument analytic semigroup Banach fixed point theorem impulsive differential equation |
| title | Mild solutions for non-autonomous impulsive semi-linear differential equations with iterated deviating arguments |
| title_full | Mild solutions for non-autonomous impulsive semi-linear differential equations with iterated deviating arguments |
| title_fullStr | Mild solutions for non-autonomous impulsive semi-linear differential equations with iterated deviating arguments |
| title_full_unstemmed | Mild solutions for non-autonomous impulsive semi-linear differential equations with iterated deviating arguments |
| title_short | Mild solutions for non-autonomous impulsive semi-linear differential equations with iterated deviating arguments |
| title_sort | mild solutions for non autonomous impulsive semi linear differential equations with iterated deviating arguments |
| topic | Iterated deviated argument analytic semigroup Banach fixed point theorem impulsive differential equation |
| url | http://ejde.math.txstate.edu/Volumes/2015/222/abstr.html |
| work_keys_str_mv | AT alkachadha mildsolutionsfornonautonomousimpulsivesemilineardifferentialequationswithiterateddeviatingarguments AT dwijendranpandey mildsolutionsfornonautonomousimpulsivesemilineardifferentialequationswithiterateddeviatingarguments |