Local invertible analytic solution of a functional differential equation with deviating arguments depending on the state derivative

DOI10.1016/j.jmaa.2006.04.063zbMath1115.34060OpenAlexW2038797047WikidataQ115346275 ScholiaQ115346275MaRDI QIDQ860607

Minghuan Ma, Jian-guo Si

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.04.063

zbMATH Keywords

functional differential equationlocal analytic solutions

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05)

Related Items (5)

Exact and explicit analytic solutions of an extended Jabotinsky functional differential equation ⋮ Analytic solutions for a functional differential equation related to a traffic flow model ⋮ Periodic solutions of a second-order functional differential equation with state-dependent argument ⋮ Exact and explicit solutions for a nonlinear extended iterative differential equation ⋮ Analytic solutions of a second order iterative functional differential equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential-difference equations
• The functional differential equation \(x'(t)=x(x(t))\)
• Theory of functional differential equations. 2nd ed
• Analytic solutions of a functional differential equation with a state derivative dependent delay
• Analytic solutions of a class of iterative functional differential equations.
• Smooth solutions of a nonhomogeneous iterative functional differential equation
• Analytic solutions of a second-order functional differential equation with a state derivative dependent delay
• 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

This page was built for publication: Local invertible analytic solution of a functional differential equation with deviating arguments depending on the state derivative