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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Main Author: Mihai Bostan
Format: Article
Language:English
Published: Texas State University 2002-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Monographs/03/abstr.html
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spelling 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
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