Proof of the favard theorem on the existence of almost-periodic solution for an arbitrary Banach space |
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Authors: | V. V. Zhikov |
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Affiliation: | (1) Vladimir Polytechnic Institute, USSR |
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Abstract: | The well-known Favard-Amerio theorem on the existence of an almost-periodic solution of a linear equation is based on the geometry of a uniformly convex space, since the almost-periodic solution is found by the minimax condition. In the present note an essentially different method for finding the almost-periodic solution is developed, which enables us to prove the Favard-Amerio theorem for an arbitrary Banach space.Translated from Matematicheskie Zametki, Vol. 23, No. 1, pp. 121–126, January, 1978. |
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