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An Existence Result for Stepanoff Almost-Periodic Differential Equations

Published online by Cambridge University Press:  20 November 2018

S. Zaidman*
Affiliation:
Université de Montréal, Montréal, Québec
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In this short paper we present an existence (an unicity) result for a first order differential equation in Hilbert spaces with right-hand side almost-periodic in the sense of Stepanoff.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Taam, Choy-Tak, Stability, periodicity and almost-periodicity of solutions of non-linear differential equations in Banach spaces, J. Math. Mech. (5) 15 (1966), 849-876.Google Scholar
2. Willett Zaidman, S.D., Some asymptotic theorems for abstract differential equations, Proc. Amer. Math. Soc. (3) 25 (1970), 521–525.Google Scholar