Non-degeneracy and uniqueness of periodic solutions for some superlinear beam equations

DOI10.1016/j.aml.2008.03.027zbMath1154.34329OpenAlexW1967567633MaRDI QIDQ1003863

Meirong Zhang, Wei Li

Publication date: 4 March 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.03.027

zbMATH Keywords

uniquenessperiodic solutionnon-degeneracySobolev constantsuperlinear beam equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23)

Related Items (9)

An optimal class of non-degenerate potentials for second-order ordinary differential equations ⋮ Positive periodic solutions for a class of fourth-order nonlinear differential equations ⋮ Nondegeneracy and uniqueness of periodic solution for a neutral differential equation ⋮ Nodal solutions of a nonlinear eigenvalue problem of the Euler-Bernoulli equation ⋮ Periodic solutions and their stability of some higher-order positively homogenous differential equations ⋮ Unnamed Item ⋮ Multiplicity results of positive solutions for fourth-order nonlinear differential equation with singularity ⋮ Singular positone and semipositone boundary value problems of nonlinear fractional differential equations ⋮ Nondegeneracy and uniqueness of periodic solution for a Liénard equation

Cites Work

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• Asymptotic Conditions for Periodic Solutions of Ordinary Differential Equations
• On the structure of the set of bounded solutions on a periodic Liénard equation
• The periodic Euler-Bernoulli equation
• A Lyapunov-type stability criterion using $L^\alpha $ norms
• Optimal bounds for bifurcation values of a superlinear periodic problem
• On the Number of Solutions to Semilinear Boundary Value Problems
• Some disconjugacy criteria for differential equations with oscillatory coefficients

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