A class of complete second order linear differential equations
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- by Hirokazu Oka PDF
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Abstract:
This paper is concerned with a class of complete second order linear differential equations in a Banach space. We show the existence and uniqueness of classical solutions of \begin{equation}\tag {SE} \begin {cases} u''(t) = A(t)u’(t) + B(t)u(t) + f(t) \text {for $t \in [0,T]$} \ u(0) = x \text {and} u’(0) = y. \end{cases} \end{equation}References
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Additional Information
- Hirokazu Oka
- Affiliation: School of Education, Department of Mathematics, Waseda University, 1-6-1 Nishi-Waseda, Shinjuku-ku, Tokyo 169-50, Japan
- Address at time of publication: Ibaraki University, Faculty of Engineering, 12-1 Nakanarusawa 4 chome, Hitachi, Ibaraki, 316 Japan
- Email: oka@base.ibaraki.ac.jp
- Received by editor(s): January 17, 1995
- Received by editor(s) in revised form: April 3, 1995
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3143-3150
- MSC (1991): Primary 42D05, 34G10
- DOI: https://doi.org/10.1090/S0002-9939-96-03412-0
- MathSciNet review: 1328367