Periodic solutions for evolution equations
We study the existence and uniqueness of periodic solutions for evolution equations. First we analyze the one-dimensional case. Then for arbitrary dimensions (finite or not), we consider linear symmetric operators. We also prove the same results for non-linear sub-differential operators $A = par...
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Texas State University
2002-08-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Monographs/03/abstr.html |
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doaj-dbf672f2a31241fca4f44a9c03f117ee2020-11-25T00:30:38ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-08-01Mongraph03141Periodic solutions for evolution equationsMihai BostanWe study the existence and uniqueness of periodic solutions for evolution equations. First we analyze the one-dimensional case. Then for arbitrary dimensions (finite or not), we consider linear symmetric operators. We also prove the same results for non-linear sub-differential operators $A = partial varphi$ where $varphi$ is convex. http://ejde.math.txstate.edu/Monographs/03/abstr.htmlMaximal monotone operatorsevolution equationsHille-Yosida's theory. |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Mihai Bostan |
spellingShingle |
Mihai Bostan Periodic solutions for evolution equations Electronic Journal of Differential Equations Maximal monotone operators evolution equations Hille-Yosida's theory. |
author_facet |
Mihai Bostan |
author_sort |
Mihai Bostan |
title |
Periodic solutions for evolution equations |
title_short |
Periodic solutions for evolution equations |
title_full |
Periodic solutions for evolution equations |
title_fullStr |
Periodic solutions for evolution equations |
title_full_unstemmed |
Periodic solutions for evolution equations |
title_sort |
periodic solutions for evolution equations |
publisher |
Texas State University |
series |
Electronic Journal of Differential Equations |
issn |
1072-6691 |
publishDate |
2002-08-01 |
description |
We study the existence and uniqueness of periodic solutions for evolution equations. First we analyze the one-dimensional case. Then for arbitrary dimensions (finite or not), we consider linear symmetric operators. We also prove the same results for non-linear sub-differential operators $A = partial varphi$ where $varphi$ is convex. |
topic |
Maximal monotone operators evolution equations Hille-Yosida's theory. |
url |
http://ejde.math.txstate.edu/Monographs/03/abstr.html |
work_keys_str_mv |
AT mihaibostan periodicsolutionsforevolutionequations |
_version_ |
1725325780258390016 |