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In a Banach space, if u is a Stepanov almost periodic solution of a certain nth-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

international journal of mathematics and mathematical sciences

On an<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$n$"><mml:mi>n</mml:mi></mml:math>th-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution

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