Eigenvalue intervals for higher order problems with singular nonlinearities

DOI10.1016/J.AMC.2011.06.003zbMath1233.34006OpenAlexW2009516718MaRDI QIDQ648310

Donal O'Regan, Aleksandra Orpel

Publication date: 22 November 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.06.003

zbMATH Keywords

positive solutionsboundary value problemscontinuous dependence of solutions on parameters

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Parameter dependent boundary value problems for ordinary differential equations (34B08) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (4)

Eigenvalues of a general class of boundary value problem with derivative-dependent nonlinearity ⋮ A note on the dependence of solutions on functional parameters for nonlinear Sturm-Liouville problems ⋮ Systems of nonlinear Sturm-Liouville problems -- the dependence of solutions on functional parameters ⋮ The dual variational method for n-th order ODEs with multipoint boundary conditions

Cites Work

• Unnamed Item
• Positive solutions to a multi-point higher order boundary value problem
• Positive solutions for nonlinear \(m\)-point boundary value problems of Dirichlet type via fixed-point index theory
• Three positive solutions for second-order \(m\)-point boundary value problems
• Existence of positive solutions for second order m-point boundary value problems
• Existence of solutions of nonlinear \(m\)-point boundary-value problems

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