Weighted pseudo-almost periodic solutions of a class of abstract differential equations

Liuwei Zhang,Yuantong Xu

doi:10.1016/j.na.2009.02.032

Weighted pseudo-almost periodic solutions of a class of abstract differential equations

Liuwei Zhang, Yuantong Xu

https://doi.org/10.1016/j.na.2009.02.032

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Journal: Nonlinear Analysis	Publication Date: Feb 12, 2009
Citations: 12

Affiliation: Sun Yat-sen University

#Class Of Abstract Differential Equations #Lotka Volterra + Show 8 more

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Abstract

For abstract linear functional differential equations with a weighted pseudo-almost periodic forcing term, we prove that the existence of a bounded solution on R + implies the existence of a weighted pseudo-almost periodic solution. Our results extend the classical theorem due to Massera on the existence of periodic solutions for linear periodic ordinary differential equations. To illustrate the results, we consider the Lotka–Volterra model with diffusion.

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