Existence and Uniqueness of Pseudo Almost Automorphic Mild Solutions to Some Classes of Partial Hyperbolic Evolution Equations
We will establish an existence and uniqueness theorem of pseudo almost automorphic mild solutions to the following partial hyperbolic evolution equation (d/dt)[u(t)+f(t,Bu(t))]=Au(t)+g(t,Cu(t)), t∈ℝ, under some assumptions. To illustrate our abstract result, a concrete example is given.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2008-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2008/405092 |
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doaj-dd5f32b5ba1b439784fae4369cd9181a2020-11-24T21:42:13ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2008-01-01200810.1155/2008/405092405092Existence and Uniqueness of Pseudo Almost Automorphic Mild Solutions to Some Classes of Partial Hyperbolic Evolution EquationsZhanrong Hu0Zhen Jin1Department of Mathematics, North University of China, Taiyuan 030051, ChinaDepartment of Mathematics, North University of China, Taiyuan 030051, ChinaWe will establish an existence and uniqueness theorem of pseudo almost automorphic mild solutions to the following partial hyperbolic evolution equation (d/dt)[u(t)+f(t,Bu(t))]=Au(t)+g(t,Cu(t)), t∈ℝ, under some assumptions. To illustrate our abstract result, a concrete example is given.http://dx.doi.org/10.1155/2008/405092 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zhanrong Hu Zhen Jin |
| spellingShingle |
Zhanrong Hu Zhen Jin Existence and Uniqueness of Pseudo Almost Automorphic Mild Solutions to Some Classes of Partial Hyperbolic Evolution Equations Discrete Dynamics in Nature and Society |
| author_facet |
Zhanrong Hu Zhen Jin |
| author_sort |
Zhanrong Hu |
| title |
Existence and Uniqueness of Pseudo Almost Automorphic Mild Solutions to Some Classes of Partial Hyperbolic Evolution Equations |
| title_short |
Existence and Uniqueness of Pseudo Almost Automorphic Mild Solutions to Some Classes of Partial Hyperbolic Evolution Equations |
| title_full |
Existence and Uniqueness of Pseudo Almost Automorphic Mild Solutions to Some Classes of Partial Hyperbolic Evolution Equations |
| title_fullStr |
Existence and Uniqueness of Pseudo Almost Automorphic Mild Solutions to Some Classes of Partial Hyperbolic Evolution Equations |
| title_full_unstemmed |
Existence and Uniqueness of Pseudo Almost Automorphic Mild Solutions to Some Classes of Partial Hyperbolic Evolution Equations |
| title_sort |
existence and uniqueness of pseudo almost automorphic mild solutions to some classes of partial hyperbolic evolution equations |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2008-01-01 |
| description |
We will establish an existence and uniqueness theorem of pseudo almost automorphic mild solutions to the following partial hyperbolic evolution equation (d/dt)[u(t)+f(t,Bu(t))]=Au(t)+g(t,Cu(t)), t∈ℝ, under some assumptions. To illustrate our abstract result, a concrete example is given. |
| url |
http://dx.doi.org/10.1155/2008/405092 |
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