On the Solution Structure of Nonlinear Hill's Equation I, Global Results

DOI10.1002/MANA.19971880114zbMath0894.34020OpenAlexW4244294010MaRDI QIDQ4366859

Thomas Mrziglod

Publication date: 19 April 1998

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

Full work available at URL: https://doi.org/10.1002/mana.19971880114

zbMATH Keywords

a priori boundsglobal bifurcationnonlinear Hill's equationnonlinear Sturm-Liouville problemsbifurcation from continuous spectrum

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Sturm-Liouville theory (34B24) Growth and boundedness of solutions to ordinary differential equations (34C11) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Cites Work

• Unnamed Item
• Operator inequalities
• A global branch of solutions to a semilinear equation on an unbounded interval
• The existence of infinitely many bifurcating branches
• Global bifurcation analysis and uniqueness for a semilinear problem
• Lacunary bifurcation for operator equations and nonlinear boundary value problems on ℝ^N
• Solvability of nonlinear equations in spectral gaps of the linearization
• Unbounded solution components for nonlinear Hill's equations

This page was built for publication: On the Solution Structure of Nonlinear Hill's Equation I, Global Results