Pseudo-Almost Periodic Solutions to Some Third-Order Differential Equations

Toka Diagana
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Toka Diagana: Howard University, Department of Mathematics

Chapter Chapter 10 in Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, 2013, pp 245-260 from Springer

Abstract: Abstract Motivated by the recent work by Diagana [49, 52, 61], in this chapter using the Schauder fixed-point theorem (Theorem 1.98), the Banach fixed-point principle (Theorem 1.96), and the dichotomy techniques, we study the problem which consists of the existence of pseudo-almost periodic (respectively, weighted pseudo-almost periodic) solutions to the nonautonomous third-order differential equations 10.1 $$\displaystyle\begin{array}{rcl} \frac{d} {dt}\Big[{u}^{{\prime\prime}} + g(t,Bu(t))\Big] = w(t)Au(t) + f(t,Cu(t)),\ \ t \in \mathbb{R}& &{}\end{array}$$

Keywords: Third-order Differential Equation; Pseudo-almost Periodic Solutions; Banach Fixed Point Principle; Schauder Fixed Point Theorem; Duality Techniques (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-00849-3_10

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DOI: 10.1007/978-3-319-00849-3_10

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