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 | References | Similar Articles | Additional Information
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.
- S. Zaidman, Théorèmes qualitatifs pour des équations aux dérivées partielles, Acad. R. P. Romîne. Stud. Cerc. Mat. 6 (1955), 645–666 (Romanian, with French and Russian summaries). MR 78552 ---, Uniqueness of bounded solutions for some abstract differential equations, Ann. Univ. Ferrara Sez. VII (to appear).
- S. Zaidman, Bounded solutions of some abstract differential equations, Proc. Amer. Math. Soc. 23 (1969), 340–342. MR 245953, DOI https://doi.org/10.1090/S0002-9939-1969-0245953-2 ---, On some almost-periodic functions, Ann. Univ. Ferrara Sez. VII (to appear).
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Additional Information
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