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

Published online by Cambridge University Press:  20 January 2009

Aribindi Satyanarayan Rao
Aribindi Satyanarayan Rao
Affiliation:
Département de Mathématiques, Université de Montréal, Montreal, Québec, Canada
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Suppose X is a Banach space and J is the interval −∞<t<∞. For 1 ≦ p<∞, a function is said to be Stepanov-bounded or Sp-bounded on J if

(for the definitions of almost periodicity and Sp-almost periodicity, see Amerio-Prouse (1, pp. 3 and 77).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 19 , Issue 3 , March 1975 , pp. 261 - 263
Copyright
Copyright © Edinburgh Mathematical Society 1975

References

REFERENCES

(1) Amerio, L. and Prouse, G., Almost Periodic Functions and Functional Equations (Van Nostrand Reinhold Company, 1971).Google Scholar