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Almost periodic solutions with a prescribed spectrum of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (neutral differential equations). (English) Zbl 1265.34256

The author studies almost periodic solutions of certain neutral differential-difference equations. It is supposed that the spectra of the cefficients and right-hand side belong to a given countable set \(\Lambda \). Under certain conditions, it is shown that there exists a unique almost periodic solution with the spectrum in \(\Lambda \) and absolutely convergent Fourier-Bohr series.

MSC:

34K14 Almost and pseudo-almost periodic solutions to functional-differential equations
34K40 Neutral functional-differential equations
42A75 Classical almost periodic functions, mean periodic functions
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
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