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- W1987160561 abstract "Differential equations whose nonlinearities depend upon both x ( t ) and x ( t − τ ) arise in many settings. In this paper equations of this form subject to periodic and almost periodic forcing are studied: x ′( t ) + g ( x ( t ), x ( t − τ )) = e ( t ), −∞ < t < ∞. (E) A nonresonance type condition is found under which it is shown that (E) will have a unique Besicovitch almost periodic solution for any Besicovitch almost periodic forcing term e ( t ). These results are then generalized to systems of equations of the same form as (E). These results hold without any small parameter type restriction upon g ." @default.
- W1987160561 created "2016-06-24" @default.
- W1987160561 creator A5064202954 @default.
- W1987160561 date "1984-11-01" @default.
- W1987160561 modified "2023-10-16" @default.
- W1987160561 title "Existence of almost periodic solutions to delay differential equations with Lipschitz nonlinearities" @default.
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- W1987160561 doi "https://doi.org/10.1016/0022-0396(84)90079-2" @default.
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