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Volume 31, Issue 1
The Generalization of the Classical Weighted Pseudo-Almost Periodic Solutions Under the Measure Theory to some Classes of Nonautonomous Partial Evolution Equations

Riadh Baazaoui

DOI: 10.4208/jpde.v31.n1.1

J. Part. Diff. Eq., 31 (2018), pp. 1-16.

Published online: 2018-07

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  • Abstract

In this paper, we use a recentworks [9], where the authors provide a newapproach for pseudo almost periodic solution under themeasure theory, under Acquistpace-Terreni conditions, we make extensive use of interpolation spaces and exponential dichotomy techniques to obtain the existence of μ-pseudo almost periodic solutions to some classes of nonautonomous partial evolution equations.

  • Keywords

evolution family exponential dichotomy Acquistapace and Terreni conditions almost periodic pseudo almost periodic under the light measure evolution equation nonautonomous equation.

  • AMS Subject Headings

34G20, 34B05, 42A75, 47D06, 35L90.

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

riadh.baazaoui@fst.rnu.tn (Riadh Baazaoui)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-31-1, author = {Baazaoui , Riadh}, title = {The Generalization of the Classical Weighted Pseudo-Almost Periodic Solutions Under the Measure Theory to some Classes of Nonautonomous Partial Evolution Equations}, journal = {Journal of Partial Differential Equations}, year = {2018}, volume = {31}, number = {1}, pages = {1--16}, abstract = {

In this paper, we use a recentworks [9], where the authors provide a newapproach for pseudo almost periodic solution under themeasure theory, under Acquistpace-Terreni conditions, we make extensive use of interpolation spaces and exponential dichotomy techniques to obtain the existence of μ-pseudo almost periodic solutions to some classes of nonautonomous partial evolution equations.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v31.n1.1}, url = {http://global-sci.org/intro/article_detail/jpde/12508.html} }
TY - JOUR T1 - The Generalization of the Classical Weighted Pseudo-Almost Periodic Solutions Under the Measure Theory to some Classes of Nonautonomous Partial Evolution Equations AU - Baazaoui , Riadh JO - Journal of Partial Differential Equations VL - 1 SP - 1 EP - 16 PY - 2018 DA - 2018/07 SN - 31 DO - http://doi.org/10.4208/jpde.v31.n1.1 UR - https://global-sci.org/intro/article_detail/jpde/12508.html KW - evolution family KW - exponential dichotomy KW - Acquistapace and Terreni conditions KW - almost periodic KW - pseudo almost periodic under the light measure KW - evolution equation KW - nonautonomous equation. AB -

In this paper, we use a recentworks [9], where the authors provide a newapproach for pseudo almost periodic solution under themeasure theory, under Acquistpace-Terreni conditions, we make extensive use of interpolation spaces and exponential dichotomy techniques to obtain the existence of μ-pseudo almost periodic solutions to some classes of nonautonomous partial evolution equations.

Baazaoui , Riadh. (2018). The Generalization of the Classical Weighted Pseudo-Almost Periodic Solutions Under the Measure Theory to some Classes of Nonautonomous Partial Evolution Equations. Journal of Partial Differential Equations. 31 (1). 1-16. doi:10.4208/jpde.v31.n1.1
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