Analytic solutions for a class of differential equations with delays depending on state

DOI10.1016/j.amc.2006.07.100zbMath1126.34041OpenAlexW1964567295WikidataQ115361871 ScholiaQ115361871MaRDI QIDQ878941

Jian Liu, Jian-guo Si

Publication date: 26 April 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.100

zbMATH Keywords

analytic solutionBrjuno conditionDiophantine conditionComplex functional differential equation

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)

Related Items (2)

Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. II: Analytic case. ⋮ Pseudo almost periodic solutions for a class of differential equation with delays depending on state

Cites Work

• Differential-difference equations
• Theory of functional differential equations. 2nd ed
• The Brjuno functions and their regularity properties
• Analytic solutions of a class of iterative functional differential equations.
• Analytic Solutions of an Iterative Functional Differential Equation which may Violate the Diophantine Condition
• Linearization of analytic and non-analytic germs of diffeomorphisms of $({\mathbb C},0)$
• The critical function for the semistandard map
• Analytic solutions of an iterative functional differential equation
• Analytic solutions of an iterative functional differential equation
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