Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions
<p/> <p>We establish a composition theorem of Stepanov almost periodic functions, and, with its help, a composition theorem of Stepanov-like pseudo almost periodic functions is obtained. In addition, we apply our composition theorem to study the existence and uniqueness of pseudo-almost...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2011/654695 |
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doaj-d1259e940cf441958f834f7a22f03a042020-11-24T23:30:08ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472011-01-0120111654695Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic FunctionsLong WeiDing Hui-Sheng<p/> <p>We establish a composition theorem of Stepanov almost periodic functions, and, with its help, a composition theorem of Stepanov-like pseudo almost periodic functions is obtained. In addition, we apply our composition theorem to study the existence and uniqueness of pseudo-almost periodic solutions to a class of abstract semilinear evolution equation in a Banach space. Our results complement a recent work due to Diagana (2008).</p> http://www.advancesindifferenceequations.com/content/2011/654695 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Long Wei Ding Hui-Sheng |
| spellingShingle |
Long Wei Ding Hui-Sheng Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions Advances in Difference Equations |
| author_facet |
Long Wei Ding Hui-Sheng |
| author_sort |
Long Wei |
| title |
Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions |
| title_short |
Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions |
| title_full |
Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions |
| title_fullStr |
Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions |
| title_full_unstemmed |
Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions |
| title_sort |
composition theorems of stepanov almost periodic functions and stepanov-like pseudo-almost periodic functions |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2011-01-01 |
| description |
<p/> <p>We establish a composition theorem of Stepanov almost periodic functions, and, with its help, a composition theorem of Stepanov-like pseudo almost periodic functions is obtained. In addition, we apply our composition theorem to study the existence and uniqueness of pseudo-almost periodic solutions to a class of abstract semilinear evolution equation in a Banach space. Our results complement a recent work due to Diagana (2008).</p> |
| url |
http://www.advancesindifferenceequations.com/content/2011/654695 |
| work_keys_str_mv |
AT longwei compositiontheoremsofstepanovalmostperiodicfunctionsandstepanovlikepseudoalmostperiodicfunctions AT dinghuisheng compositiontheoremsofstepanovalmostperiodicfunctionsandstepanovlikepseudoalmostperiodicfunctions |
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1725542716179218432 |