Composition of Pseudo Almost-Periodic Functions and Semilinear Differential Equations

Composition of Pseudo Almost-Periodic Functions and Semilinear Differential Equations

Under the assumption of uniformly continuity, we establish a composition theorem of pseudo almost-periodic functions in general Banach spaces. As an application, we give some existence theorems of pseudo almost-periodic solutions and mild pseudo almost-periodic solutions for some differential equati...

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Veröffentlicht in:Journal of mathematical analysis and applications 2001-03, Vol.255 (2), p.436-446
Hauptverfasser: Li, Hong-xu, Huang, Fa-lun, Li, Ji-yong
Format: Artikel
Sprache:eng
Schlagworte:
almost-periodic
C0-semigroup
compact operator
Exact sciences and technology
fixed point
Mathematical analysis
Mathematics
Operator theory
Ordinary differential equations
pseudo almost-periodic
Sciences and techniques of general use
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Beschreibung
Zusammenfassung:Under the assumption of uniformly continuity, we establish a composition theorem of pseudo almost-periodic functions in general Banach spaces. As an application, we give some existence theorems of pseudo almost-periodic solutions and mild pseudo almost-periodic solutions for some differential equations.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.2000.7225