Global solution curves for boundary value problems, with linear part at resonance

DOI10.1016/j.na.2009.01.128zbMath1185.34021OpenAlexW2063785437MaRDI QIDQ923900

Philip Korman

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.128

zbMATH Keywords

boundary value problemresonancecontinuationglobal solution curvesLyapunov-Schmidt procedure

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Related Items (3)

Curves of equiharmonic solutions, and problems at resonance ⋮ A global solution curve for a class of periodic problems, including the relativistic pendulum ⋮ A global solution curve for a class of free boundary value problems arising in plasma physics

Cites Work

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• On the number of solutions for the forced pendulum equation
• On the stability of periodic solutions of the damped pendulum equation
• On periodic solutions of forced pendulum-like equations
• On the inversion of some differentiable mappings with singularities between Banach spaces
• A global solution curve for a class of periodic problems, including the pendulum equation
• Bounded perturbations of forced harmonic oscillators at resonance
• Multiplicity results near the principal eigenvalue for boundary-value problems with periodic nonlinearity
• Remarks on some quasilinear elliptic equations

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