Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-24T22:43:36.441Z Has data issue: false hasContentIssue false
  • English
  • Français

On the almost periodic solution of an abstract diffferential equation

Published online by Cambridge University Press:  09 April 2009

Aribindi Satyanarayan Rao
Aribindi Satyanarayan Rao
Affiliation:
Department of Mathematics, University of Montreal, Montreal, Quebec, Canada
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Abstract: Under certain suitable conditions, the Stepanov-bounded solution of an abstract differential equation corresponding to a Stepanov almost periodic function is strongly (weakly) almost periodic.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 18 , Issue 2 , September 1974 , pp. 252 - 256
Copyright
Copyright © Australian Mathematical Society 1974

References

[1]Amerio, L., and Prouse, G., Almost periodic functions and functional equations, (Van Nostrand Reinhold Company (1971)).CrossRefGoogle Scholar
[2]Besicovitch, A. S., Almost periodic functions, (Dover Publications, Inc. (1954)).Google Scholar
[3]Dunford, N. and Schwartz, J. T., Linear operators, part I, (Interscience Publishers, Inc., New York (1958)).Google Scholar
[4]Prouse, G., ‘Sulle equazioni differenziali astratte quasi-periodiche secondo Stepanoff’, Ricerche di Matematica 11 (1962), 254–270.Google Scholar
[5]Zaidman, S., ‘Sur la perturbation presque périodique des groupes et semi-groupes de transformations d'un espace de Banach’, Rendiconti di Matematica e delle sue Applicazioni (Rome) 16 (1957), 197–206.Google Scholar