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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A class of complete second order
linear differential equations


Author: Hirokazu Oka
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
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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}\label {eq: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}


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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

DOI: https://doi.org/10.1090/S0002-9939-96-03412-0
Received by editor(s): January 17, 1995
Received by editor(s) in revised form: April 3, 1995
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1996 American Mathematical Society