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Weighted pseudo almost periodic solutions to some partial neutral functional differential equations. (English) Zbl 1155.35104

The authors study the existence and uniqueness of weighted pseudo almost periodic solutions for some partial neutral functional differential equations, the linear part is assumed to generate an exponentially stable co-semigroup and the delayed part is weighted pseudo almost periodic in time. Sufficient conditions are formulated to apply the strict contraction principle to show the main results of the work. Several results on the space of weighted pseudo almost periodic functions are also given. For illustration, many examples arising in physical systems are provided.

MSC:

35R10 Partial functional-differential equations
34K40 Neutral functional-differential equations
47D09 Operator sine and cosine functions and higher-order Cauchy problems
35B15 Almost and pseudo-almost periodic solutions to PDEs
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