Existence of C (m)-Pseudo-Almost Automorphic Solutions

Toka Diagana
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Toka Diagana: Howard University, Department of Mathematics

Chapter Chapter 9 in Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, 2013, pp 221-243 from Springer

Abstract: Abstract In this chapter we study and obtain the existence of C (m)-pseudo-almost automorphic solutions to some classes of first-order, second-order, and higher-order differential equations with operator coefficients whose forcing term is C (m)-pseudo-almost automorphic. For that, we will make extensive use of various tools including analytic semigroup and exponential dichotomy techniques.

Keywords: Automorphic Solutions; Higher Order Differential Equations; Operator Coefficients; Mild Solution; Acquistapace Terreni Conditions (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_9

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DOI: 10.1007/978-3-319-00849-3_9

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