Existence of 2π-periodic solutions for nonlinear systems of first-order ordinary differential equations at resonance

DOI10.1016/0362-546X(94)00131-ZzbMath0826.34038OpenAlexW2059146816MaRDI QIDQ4837873

Zachariah Sinkala, R. Kent Nagle

Publication date: 29 November 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00131-z

zbMATH Keywords

periodic solutionsresonance problemsnonlinear system of first-order ordinary differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34)

Related Items

The existence, uniqueness and global attractivity of periodic solution for a type of neutral functional differential system with delays, Existence of 2π-periodic solutions for nonlinear systems of first-order ordinary differential equations at resonance, The existence of periodic solutions for nonlinear systems of first-order differential equations at resonance, An abstract existence theorem at resonance and its applications, Semilinear equations at resonance with the kernel of arbitrary dimension, Periodic solutions for differential equations at resonance with unbounded nonlinearities

Cites Work

• Periodic solutions for systems of forced coupled pendulum-like equations
• Solutions in the large of Lienard systems with forcing terms
• Perturbation at resonance for a fourth order ordinary differential equation
• Bounded perturbations of forced harmonic oscillators at resonance
• An Abstract Existence Theorem at Resonance
• Nonlinear Boundary Value Problems for Ordinary Differential Equations with a Small Parameter
• Existence of 2π-periodic solutions for nonlinear systems of first-order ordinary differential equations at resonance
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