Smooth solutions of a nonhomogeneous iterative functional differential equation

DOI10.1017/S0308210500021806zbMath0912.34057OpenAlexW2103498198WikidataQ115335881 ScholiaQ115335881MaRDI QIDQ4212401

Sui-Sun Cheng, Jian-guo Si

Publication date: 18 May 1999

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500021806

zbMATH Keywords

Schauder's fixed point theoremlocal existencesmooth solutionsiterative functional-differential equations

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05)

Related Items (13)

Classifications and existence of positive solutions of higher order nonlinear iterative functional differential equations ⋮ Local invertible analytic solution of a functional differential equation with deviating arguments depending on the state derivative ⋮ Periodic solutions of an iterative functional differential equation with variable coefficients ⋮ Analytic solutions of an iterative functional-differential equation. ⋮ Analytic solutions of a second-order iterative functional differential equation ⋮ Local analytic solutions of a functional differential equation with a deviating argument depending on the state derivative near resonance ⋮ Local analytic solution of a second-order functional differential equation with a state derivative dependent delay ⋮ Analytic solutions of a second-order nonautonomous iterative functional differential equation ⋮ Solutions of equivariance for iterative differential equations. ⋮ A note on iterative solutions of an iterative functional differential equation ⋮ Local analytic solutions of a functional differential equation \(\alpha z+\beta x'(z)= x(az+bx(z))\) ⋮ Smooth solutions of a nonhomogeneous iterative functional differential equation with variable coefficients ⋮ Analytic solutions of a second-order functional differential equation

Cites Work

• The functional differential equation \(x'(t)=x(x(t))\)
• On the existence of periodic solutions of z'(t)=-az(t-r+uk(t,z(t)))+F(t)
• Analytic solutions of an iterative functional differential equation

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