Periodic solutions to convex neutral functional-differential equations

DOI10.2748/TMJ/1178224657zbMath0956.34058OpenAlexW1972417163MaRDI QIDQ1572911

Ke Wang, Meng Fan

Publication date: 26 February 2001

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224657

zbMATH Keywords

periodic solutionsbounded solutionsconvex neutral functional-differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Neutral functional-differential equations (34K40)

Related Items (10)

Existence of periodic solutions for a kind of second-order neutral functional differential equation ⋮ Periodic solutions to a second order \(p\)-Laplacian neutral functional differential system ⋮ Existence of periodic solutions for neutral functional differential equations with nonlinear difference operator ⋮ Periodic solutions for dynamic equations on time scales ⋮ The problem of existence of periodic solutions for neutral functional differential system with nonlinear difference operator ⋮ A Massera theorem for quasi-linear partial differential equations of first order ⋮ New properties of the D-operator and its applications on the problem of periodic solutions to neutral functional differential system ⋮ Existence of periodic solutions for a \(p\)-Laplacian neutral functional differential equation ⋮ A priori bounds for periodic solutions of a kind of second order neutral functional differential equation with multiple deviating arguments ⋮ Periodic solutions of neutral difference equations

Cites Work

• Remarks on one-dimensional delay-differential equations
• Uniform ultimate boundedness and periodicity in functional differential equations
• An autonomous system whose solutions are uniformly ultimately bounded but not uniformly bounded
• Continuous dependence of fixed points of condensing maps
• Periodic solutions of linear differential and integral equations
• Forward and backward continuation for neutral functional differential equations
• The existence of periodic solutions of systems of differential equations
• Periodic solutions to functional differential equations
• Volterra integral and differential equations
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