Asymptotic homogenization for delay-differential equations and a question of analyticity

DOI10.3934/dcds.2020044zbMath1442.34102OpenAlexW2981137579MaRDI QIDQ2309168

John Mallet-Paret, Roger D. Nussbaum

Publication date: 30 March 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020044

zbMATH Keywords

asymptotic behaviorhomogenizationanalytic continuationdelay-differential equationrapidly varying coefficients

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Applications of operator theory to differential and integral equations (47N20) General theory of functional-differential equations (34K05) Nonautonomous smooth dynamical systems (37C60)

Related Items (3)

Simultaneous conjugation of commuting foliation preserving torus maps ⋮ Analytic solutions of delay-differential equations ⋮ Oscillation, convergence, and stability of linear delay differential equations

Cites Work

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• Periodic solutions of analytic functional differential equations are analytic
• Intricate structure of the analyticity set for solutions of a class of integral equations
• Stability of periodic solutions of state-dependent delay-differential equations
• Analyticity and Nonanalyticity of Solutions of Delay-Differential Equations

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