The existence of periodic solutions for nonlinear systems of first-order differential equations at resonance

DOI10.1007/BF02459250zbMath0982.34058OpenAlexW2063224466MaRDI QIDQ5932112

Shiwang Ma, Jian She Yu, Zhicheng Wang

Publication date: 14 October 2001

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459250

zbMATH Keywords

periodic solutiondifferential equationdegree theorydelay argument

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Periodic solutions to functional-differential equations (34K13)

Related Items (1)

Periodic solutions for differential equations at resonance with unbounded nonlinearities

Cites Work

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• Semilinear Duffing equations crossing resonance points
• Perturbation at resonance for a fourth order ordinary differential equation
• Bounded perturbations of forced harmonic oscillators at resonance
• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
• Nonlinear Boundary Value Problems for Ordinary Differential Equations with a Small Parameter
• Coincidence degree and periodic solutions of Duffing equations
• Existence of 2π-periodic solutions for nonlinear systems of first-order ordinary differential equations at resonance

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