Non-Degeneracy and Periodic Solutions of Semilinear Differential Equations with Deviation

DOI10.1515/ans-2006-0405zbMath1120.34051OpenAlexW2186074664MaRDI QIDQ3427617

Ping Yan, Xiaoyan Lin, Meirong Zhang, Gang Meng

Publication date: 20 March 2007

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2006-0405

zbMATH Keywords

semilinear equationsnon-degenerate potentialdeviations

Mathematics Subject Classification ID

Linear functional-differential equations (34K06) Periodic solutions to functional-differential equations (34K13)

Related Items (7)

An optimal class of non-degenerate potentials for second-order ordinary differential equations ⋮ Nondegeneracy and uniqueness of periodic solution for a neutral differential equation ⋮ Lyapunov inequalities and stability for linear Hamiltonian systems ⋮ Continuity in weak topology: higher order linear systems of ODE ⋮ Non-degeneracy and uniqueness of periodic solutions for some superlinear beam equations ⋮ From ODE to DDE ⋮ Nondegeneracy and uniqueness of periodic solution for a Liénard equation

Cites Work

• Periodic solutions of asymptotically positively homogeneous differential equations
• Periodic solutions for ordinary differential equations with sublinear impulsive effects
• Certain classes of potentials for p ‐Laplacian to be non‐degenerate

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