Almost periodic solutions with a prescribed spectrum of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Neutral differential equations)

Alexandr Fischer

Displaying similar documents to “Almost periodic solutions with a prescribed spectrum of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Neutral differential equations)”

Construction of almost periodic functions with given properties.

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Construction of almost periodic sequences with given properties.

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The objective of this note is the announcement of two results of Ambrosetti-Prodi type concerning the existence of periodic (respectively bounded) solutions of the first order differential equation x' = f (t,x).

Almost periodic sequences and functions with given values

Michal Veselý (2011)

Archivum Mathematicum

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We present a method for constructing almost periodic sequences and functions with values in a metric space. Applying this method, we find almost periodic sequences and functions with prescribed values. Especially, for any totally bounded countable set $X$ in a metric space, it is proved the existence of an almost periodic sequence ${ψ_{k}}_{k \in ℤ}$ such that ${ψ_{k}; k \in ℤ} = X$ and $ψ_{k} = ψ_{k + l q (k)}$ , $l \in ℤ$ for all $k$ and some $q (k) \in ℕ$ which depends on $k$ .