On an n th-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution

Aribindi Satyanarayan Rao

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 32, 1-6

Abstract:

In a Banach space, if u is a Stepanov almost periodic solution of a certain n th-order infinitesimal generator and time-dependent operator differential equation with a Stepanov almost periodic forcing function, then u , u ′ , … , u ( n − 2 ) are all strongly almost periodic and u ( n − 1 ) is weakly almost periodic.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:984081

DOI: 10.1155/S0161171202108295

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