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A class of complete second order linear differential equations
Author(s):
Hirokazu
Oka
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3143-3150.
MSC (1991):
Primary 42D05, 34G10
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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}](/proc/1996-124-10/S0002-9939-96-03412-0/gif-abstract/img3.gif)
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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
DOI:
10.1090/S0002-9939-96-03412-0
PII:
S 0002-9939(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
Copyright of article:
Copyright
1996,
American Mathematical Society
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