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On the Stepanov-almost periodic solution of a second-order operator differential equation

Aribindi Satyanarayan Rao

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Source: Crossref

Published: Mar 1, 1975

DOI: 10.1017/s0013091500015546

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Source abstract

Suppose X is a Banach space and J is the interval −∞< t <∞. For 1 ≦ p <∞, a function is said to be Stepanov-bounded or S p -bounded on J if (for the definitions of almost periodicity and S p -almost periodicity, see Amerio-Prouse ( 1 , pp. 3 and 77).

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On the Stepanov-almost periodic solution of a second-order operator differential equation — Mathematical Frontier Network