Asymptotic oscillations of continua of positive solutions of a semilinear Sturm-Liouville problem

DOI10.1006/jmaa.2000.7009zbMath0974.34023OpenAlexW2067220448MaRDI QIDQ1840533

Bryan P. Rynne, Fordyce A. Davidson

Publication date: 4 December 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7009

zbMATH Keywords

oscillationpositive solutionSturm-Liouville problemsemilinear

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (4)

Exact number of positive solutions for a class of semipositone problems ⋮ Asymptotic behavior of solution branches of nonlocal boundary value problems ⋮ Global structure of positive solution sets of nonlinear operator equations ⋮ Asymptotic oscillations of global solution branches for nonlinear problems

Cites Work

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• Some global results for nonlinear eigenvalue problems
• Infinitely many positive solutions of semilinear elliptic problems via sub- and supersolutions
• A Class of Nonlinear Sturm-Liouville Problems With Infinitely Many Solutions
• Oscillating global continua of positive solutions of semilinear elliptic problems

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