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On the stepanov almost periodic solution of a second‐order infinitesimal generator differential equation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 4, Page 757-761, 1991., 1991
The Stepanov almost periodic solution of a certain second‐order differential equation in a reflexive Banach space is shown to be almost periodic.
Aribindi Satyanarayan Rao
wiley   +1 more source

On first‐order differential operators with Bohr‐Neugebauer type property

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 3, Page 473-476, 1989., 1987
We consider a differential equation ddtu(t)‐Bu(t)=f(t), where the functions u and f map the real line into a Banach space X and B: X →X is a bounded linear operator. Assuming that any Stepanov‐bounded solution u is Stepanov almost‐periodic when f is Bochner almost‐periodic, we establish that any Stepanov‐bounded solution u is Bochner almost‐periodic ...
Aribindi Satyanarayan Rao
wiley   +1 more source

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