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On nonautonomous second-order differential equations on Banach space
- Source :
- International Journal of Mathematics and Mathematical Sciences, Vol 26, Iss 1, Pp 45-54 (2001)
- Publication Year :
- 2001
- Publisher :
- Hindawi Limited, 2001.
-
Abstract
- We show the existence and uniqueness of classical solutions of the nonautonomous second-order equation: u″(t)=A(t)u′(t)+B(t)u(t)+f(t), 0≤t≤T; u(0)=x0, u′(0)=x1 on a Banach space by means of operator matrix method and apply to Volterra integrodifferential equations.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 01611712 and 16870425
- Volume :
- 26
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- International Journal of Mathematics and Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.1fe7a7905f184deeab05ca25490cd087
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/S0161171201003519