Existence of solutions to a paratingent equation with delayed argument
In this work we prove the existence of solutions of a class of paratingent equations with delayed argument, $$ (Pt;x)(t)subset F([x]_{t})quadhbox{for } tgeq 0 $$ with the initial condition $x(t)=xi (t)$ for $tleq 0$. We use a fixed point theorem to obtain a solution and then provide an estimate fo...
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Texas State University
2005-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/14/abstr.html |
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doaj-c303a8b180f9470a8ed6dacbcfa9014a2020-11-25T02:18:36ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-01-0120051418Existence of solutions to a paratingent equation with delayed argumentLotfi BoudjenahIn this work we prove the existence of solutions of a class of paratingent equations with delayed argument, $$ (Pt;x)(t)subset F([x]_{t})quadhbox{for } tgeq 0 $$ with the initial condition $x(t)=xi (t)$ for $tleq 0$. We use a fixed point theorem to obtain a solution and then provide an estimate for the solution.http://ejde.math.txstate.edu/Volumes/2005/14/abstr.htmlConvex delayed argumentdifferential inclusionparatingentset-valued functionupper semi-continuity. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Lotfi Boudjenah |
| spellingShingle |
Lotfi Boudjenah Existence of solutions to a paratingent equation with delayed argument Electronic Journal of Differential Equations Convex delayed argument differential inclusion paratingent set-valued function upper semi-continuity. |
| author_facet |
Lotfi Boudjenah |
| author_sort |
Lotfi Boudjenah |
| title |
Existence of solutions to a paratingent equation with delayed argument |
| title_short |
Existence of solutions to a paratingent equation with delayed argument |
| title_full |
Existence of solutions to a paratingent equation with delayed argument |
| title_fullStr |
Existence of solutions to a paratingent equation with delayed argument |
| title_full_unstemmed |
Existence of solutions to a paratingent equation with delayed argument |
| title_sort |
existence of solutions to a paratingent equation with delayed argument |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2005-01-01 |
| description |
In this work we prove the existence of solutions of a class of paratingent equations with delayed argument, $$ (Pt;x)(t)subset F([x]_{t})quadhbox{for } tgeq 0 $$ with the initial condition $x(t)=xi (t)$ for $tleq 0$. We use a fixed point theorem to obtain a solution and then provide an estimate for the solution. |
| topic |
Convex delayed argument differential inclusion paratingent set-valued function upper semi-continuity. |
| url |
http://ejde.math.txstate.edu/Volumes/2005/14/abstr.html |
| work_keys_str_mv |
AT lotfiboudjenah existenceofsolutionstoaparatingentequationwithdelayedargument |
| _version_ |
1724881066578149376 |