Global behavior of the components for the second order \(m\)-point boundary value problems

DOI10.1155/2008/254593zbMath1154.34008OpenAlexW1996271425WikidataQ59214604 ScholiaQ59214604MaRDI QIDQ937501

Yulian An, Ru Yun Ma

Publication date: 15 August 2008

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55019

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Abstract bifurcation theory involving nonlinear operators (47J15) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (5)

Boundary shape function method for nonlinear BVP, automatically satisfying prescribed multipoint boundary conditions ⋮ Multiplicity results for a class of fourth order semipositonem-point boundary value problems ⋮ Global structure of nodal solutions for second-order \(m\)-point boundary value problems with superlinear nonlinearities ⋮ One-signed periodic solutions of first-order functional differential equations with a parameter ⋮ A two-stage LGSM for three-point BVPs of second-order ODEs

Cites Work

• Multiplicity of sign-changing solutions for some four-point boundary value problem
• Global behavior of the components of nodal solutions of asymptotically linear eigenvalue problems
• Second-order Sturm--Liouville problems with asymmetric, superlinear nonlinearities.
• Nodal solutions for nonlinear eigenvalue problems
• On bifurcation from infinity
• Spectral properties and nodal solutions for second-order, \(m\)-point boundary value problems
• The shooting method and nonhomogeneous multipoint BVPs of second-order ODE
• Nodal solutions for \(m\)-point boundary value problems using bifurcation methods
• Nodal solutions for second-order \(m\)-point boundary value problems with nonlinearities across several eigenvalues
• Some global results for nonlinear eigenvalue problems
• Nodal solutions for a second-order m-point boundary value problem

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