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Stability of solutions to abstract evolution equations with delay
- Source :
-
Journal of Mathematical Analysis & Applications . Dec2012, Vol. 396 Issue 2, p523-527. 5p. - Publication Year :
- 2012
-
Abstract
- Abstract: An equation , , is considered, where and are linear operators in a Hilbert space , , is a non-linear operator, and is a constant. Under some assumptions on and sufficient conditions are given for the solution to exist globally, i.e., for all , to be globally bounded, and to tend to zero at a specified rate as . [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 396
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 79342063
- Full Text :
- https://doi.org/10.1016/j.jmaa.2012.06.033