Almost Periodicity of Bounded Solutions to Nonlinear Abstract Equations

Abstract

The paper is devoted to the problem of Bohr-Neugebauer for the equations (1) and (2), in a Hilbert space H, i.e., providing conditions under which a bounded solution is necessarily almost periodic. The proofs of the main results are based on the solution of some differential inequalities, valid on the entire real axis. © 1984, Elsevier Science & Technology. All rights reserved.

Publication Title

North-Holland Mathematics Studies

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