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Proceedings of the American Mathematical Society

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



Some asymptotic theorems for abstract differential equations

Author: S. Zaidman
Journal: Proc. Amer. Math. Soc. 25 (1970), 521-525
MSC: Primary 34.95
MathSciNet review: 0265731
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Abstract: We consider in this paper results on differential equations with time independent operators; uniqueness of solutions which are bounded in the Stepanoff norm as well as weak almost-periodic solutions are some of the topics here considered.

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Keywords: Hilbert space, linear closed operator, adjoint operator, strong solution, infinitesimal operator, one-parameter semigroup, Banach space, almost-periodic functions, compact operators, dual Banach space, space <!– MATH ${{\text {L}}^p}({R^n})$ –> <IMG WIDTH="69" HEIGHT="41" ALIGN="MIDDLE" BORDER="0" SRC="images/img1.gif" ALT="${{\text {L}}^p}({R^n})$">, truncation operator, translation operator
Article copyright: © Copyright 1970 American Mathematical Society