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The Equation x′ = f (t, x)

Gaston M. N’Guerekata
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Gaston M. N’Guerekata: Morgan State University

Chapter Chapter 5 in Almost Automorphic and Almost Periodic Functions in Abstract Spaces, 2001, pp 89-92 from Springer

Abstract: Abstract The present chapter is dedicated to the existence of almost automorphic solution of the nonlinear differential equation 5.1 $$x'\left( t \right) = f\left( {t,x\left( t \right)} \right)$$ in a Banach space X. We also give an immediate linear version of the result in Section 5.2.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-4482-8_5

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DOI: 10.1007/978-1-4757-4482-8_5

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