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Proceedings of the American Mathematical Society

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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
DOI: https://doi.org/10.1090/S0002-9939-1970-0265731-6
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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DOI: https://doi.org/10.1090/S0002-9939-1970-0265731-6
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 $ {{\text{L}}^p}({R^n})$, truncation operator, translation operator
Article copyright: © Copyright 1970 American Mathematical Society

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