Almost Automorphic Mild Solutions to Neutral Parabolic Nonautonomous Evolution Equations with Nondense Domain
Combining the exponential dichotomy of evolution family, composition theorems for almost automorphic functions with Banach fixed point theorem, we establish new existence and uniqueness theorems for almost automorphic mild solutions to neutral parabolic nonautonomous evolution equations with nondens...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/183420 |
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| _version_ | 1832565747712262144 |
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| author | Zhanrong Hu Zhen Jin |
| author_facet | Zhanrong Hu Zhen Jin |
| author_sort | Zhanrong Hu |
| collection | DOAJ |
| description | Combining the exponential dichotomy of evolution family, composition theorems for almost automorphic functions with Banach fixed point theorem, we establish new existence and uniqueness theorems for almost automorphic mild solutions to neutral parabolic nonautonomous evolution equations with nondense domain. A unified framework is set up to investigate the existence and uniqueness of almost automorphic mild solutions to some classes of parabolic partial differential equations and neutral functional differential equations. |
| format | Article |
| id | doaj-art-d51454848055445e863fd80558e16a21 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d51454848055445e863fd80558e16a212025-02-03T01:06:52ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/183420183420Almost Automorphic Mild Solutions to Neutral Parabolic Nonautonomous Evolution Equations with Nondense DomainZhanrong Hu0Zhen Jin1Department of Mathematics, North University of China, Taiyuan 030051, ChinaDepartment of Mathematics, North University of China, Taiyuan 030051, ChinaCombining the exponential dichotomy of evolution family, composition theorems for almost automorphic functions with Banach fixed point theorem, we establish new existence and uniqueness theorems for almost automorphic mild solutions to neutral parabolic nonautonomous evolution equations with nondense domain. A unified framework is set up to investigate the existence and uniqueness of almost automorphic mild solutions to some classes of parabolic partial differential equations and neutral functional differential equations.http://dx.doi.org/10.1155/2013/183420 |
| spellingShingle | Zhanrong Hu Zhen Jin Almost Automorphic Mild Solutions to Neutral Parabolic Nonautonomous Evolution Equations with Nondense Domain Discrete Dynamics in Nature and Society |
| title | Almost Automorphic Mild Solutions to Neutral Parabolic Nonautonomous Evolution Equations with Nondense Domain |
| title_full | Almost Automorphic Mild Solutions to Neutral Parabolic Nonautonomous Evolution Equations with Nondense Domain |
| title_fullStr | Almost Automorphic Mild Solutions to Neutral Parabolic Nonautonomous Evolution Equations with Nondense Domain |
| title_full_unstemmed | Almost Automorphic Mild Solutions to Neutral Parabolic Nonautonomous Evolution Equations with Nondense Domain |
| title_short | Almost Automorphic Mild Solutions to Neutral Parabolic Nonautonomous Evolution Equations with Nondense Domain |
| title_sort | almost automorphic mild solutions to neutral parabolic nonautonomous evolution equations with nondense domain |
| url | http://dx.doi.org/10.1155/2013/183420 |
| work_keys_str_mv | AT zhanronghu almostautomorphicmildsolutionstoneutralparabolicnonautonomousevolutionequationswithnondensedomain AT zhenjin almostautomorphicmildsolutionstoneutralparabolicnonautonomousevolutionequationswithnondensedomain |