Weighted Stepanov-Like Pseudo Almost Periodicity on Time Scales and Applications

By using the measure theory on time scales, we extend the notion of weighted Stepanov-like pseudo almost periodicity to time scales and study some of its basic properties. To illustrate our abstract results, we study the existence and uniqueness of weighted pseudo almost periodic solutions to some c...

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Bibliographic Details
Published inDifferential equations and dynamical systems Vol. 31; no. 4; pp. 869 - 893
Main Authors Es-saiydy, Mohssine, Zitane, Mohamed
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.10.2023
Springer Nature B.V
Subjects
Computer Science
Engineering
Mathematics
Mathematics and Statistics
Original Research
Time
Nonautonomous dynamic equations
34C27
26E70
Time scales
34N05
Weighted Stepanov-like pseudo almost periodicity
26A18
Ergodic component
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Summary:By using the measure theory on time scales, we extend the notion of weighted Stepanov-like pseudo almost periodicity to time scales and study some of its basic properties. To illustrate our abstract results, we study the existence and uniqueness of weighted pseudo almost periodic solutions to some classes of nonautonomous dynamic equations involving weighted Stepanov-like pseudo almost periodic forcing terms on time scales.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-020-00543-7