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Pseudo almost periodic solutions of infinite class under the light of measure theory and applications

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The aim of this work is to present a new approach to study weighted pseudo almost periodic functions with infinite delay using the measure theory. We study the existence and… Click to show full abstract

The aim of this work is to present a new approach to study weighted pseudo almost periodic functions with infinite delay using the measure theory. We study the existence and uniqueness of (μ, ν)‐pseudo almost periodic solutions of infinite class for some neutral partial functional differential equations in a Banach space when the delay is distributed on ] − ∞, 0].

Keywords: periodic solutions; solutions infinite; infinite class; almost periodic; measure theory; pseudo almost

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020

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