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Pseudo almost periodic solutions to some differential equations
- Source :
-
Nonlinear Analysis . Mar2005, Vol. 60 Issue 7, p1277-1286. 10p. - Publication Year :
- 2005
-
Abstract
- Abstract: This paper is concerned with the pseudo almost periodic solutions to the abstract differential equations of the form:where are densely defined closed linear operators acting in a Hilbert space , and is a -valued pseudo almost periodic function. Using the theory of the invariant subspaces for unbounded linear operators, we show that every bounded solution to is a pseudo almost periodic function. [Copyright &y& Elsevier]
- Subjects :
- *FOURIER series
*HILBERT space
*PERIODIC functions
*DIFFERENTIAL equations
Subjects
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 60
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 19252512
- Full Text :
- https://doi.org/10.1016/j.na.2004.11.002