Bifurcation techniques for Lidstone boundary value problems

DOI10.1016/j.na.2007.02.027zbMath1140.34321OpenAlexW2019719400MaRDI QIDQ2482489

Donal O'Regan, Yansheng Liu

Publication date: 17 April 2008

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.2007.02.027

zbMATH Keywords

nontrivial solutionsLidstone boundary value problemhigher order derivativesbifurcation techniquesign-changing nonlinear term

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23)

Related Items (8)

Bifurcation from interval and positive solutions of the three-point boundary value problem for fractional differential equations ⋮ Bifurcation of positive solutions for a class of boundary value problems of fractional differential inclusions ⋮ Bifurcation of positive solutions for a three-point boundary-value problem of nonlinear fractional differential equations ⋮ Positive solutions for a class of \(2n\)th-order singular boundary value problems ⋮ Positive solutions using bifurcation techniques for boundary value problems of fractional differential equations ⋮ Bifurcation techniques and positive solutions of discrete Lidstone boundary value problems ⋮ Rectangles of positive eigenvalues with positive eigenfunctions of nonlinear multiparameter coupled systems ⋮ Global behaviour of the components of nodal solutions for Lidstone boundary value problems

Cites Work

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• Structure of a class of singular boundary value problem with superlinear effect.
• Existence of multiple symmetric positive solutions of higher order Lidstone problems.
• Singular Lidstone boundary value problem with given maximal values for solutions.
• General Lidstone problems: Multiplicity and symmetry of solutions
• Multiple positive solutions of nonlinear singular boundary value problem for fourth-order equations.
• Global bifurcation for 2\(m\)th-order boundary value problems and infinitely many solutions of superlinear problems
• Solutions of 2\(n\)th Lidstone boundary value problems and dependence on higher order derivatives
• On bifurcation from infinity
• Some global results for nonlinear eigenvalue problems
• On 2\(n\)th-order Lidstone boundary value problems
• Existence of positive solutions of lidstone boundary value problems
• Nodal solutions for a fourth-order two-point boundary value problem

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