Topological transversality and periodic solutions of neutral functional differential equations

DOI10.1017/S0308210500027530zbMath0923.34071MaRDI QIDQ4243037

Bo Zhang, Jianhong Wu, Huaxing Xia

Publication date: 31 October 1999

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

zbMATH Keywords

periodic solutionstopological transversalityneutral functional-differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Neutral functional-differential equations (34K40)

Related Items (7)

Positive periodic solution for a nonautonomous delay differential equation ⋮ Differentiability of solutions with respect to parameters in neutral differential equations with state-dependent delays ⋮ Periodic solutions of neutral functional differential equations ⋮ Periodic solutions of abstract neutral functional differential equations ⋮ Linearized stability for a class of neutral functional differential equations with state-dependent delays ⋮ Periodic solutions of measure functional differential equations ⋮ Periodic solutions of abstract neutral functional differential equations with infinite delay.

Cites Work

• Stability and periodic solutions of ordinary and functional differential equations
• Uniform ultimate boundedness and periodicity in functional differential equations
• Periodic solutions of abstract differential equations with infinite delay
• On the existence of periodic solutions for linear inhomogeneous and quasilinear functional differential equations
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• Stability and forced oscillations
• Periodic solutions of linear and quasilinear neutral functional differential equations
• Coincidence degree and periodic solutions of neutral equations
• Periodic solutions of nonlinear functional differential equations
• Periodic solutions of hereditary differential systems
• Fixed point theorems and dissipative processes
• The existence of periodic solutions of systems of differential equations
• Periodic Solutions of Functional Differential Equations with Infinite Delay
• Leray-Schauder degree for semilinear Fredholm maps and periodic boundary value problems of neutral equations
• Periodic Solutions of Integrodifferential Equations
• Periodic solutions to functional differential equations
• Periodic solutions for some nonlinear differential equations of neutral type
• Existence of periodic solutions to integro-differential equations of neutral type via limiting equations
• A Composite Coincidence Degree with Applications to Boundary Value Problems of Neutral Equations
• Forced Oscillations in Nonlinear Neutral Differential Equations
• Periodic Solutions of Linear Integro‐Differential Equations
• Boundedness and periodicity of solutions of neutral functional differential equations with infinite delay
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