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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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