On the Solution Structure of Nonlinear Hill's Equation II, Local Results

DOI10.1002/MANA.19981900112zbMath0899.34017OpenAlexW2139535951MaRDI QIDQ4383980

Thomas Mrziglod

Publication date: 10 November 1998

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19981900112

zbMATH Keywords

solution branchesnonlinear Sturm-Liouville problemnonlinear Hill's equationlocal resultsbifurcation from continuous spectrumparameter-dependent boundary conditions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Sturm-Liouville theory (34B24) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Cites Work

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• A global branch of solutions to a semilinear equation on an unbounded interval
• Global bifurcation analysis and uniqueness for a semilinear problem
• Lacunary bifurcation for operator equations and nonlinear boundary value problems on ℝ^N
• Unbounded solution components for nonlinear Hill's equations

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