Some new results for singular problems with sign changing nonlinearities

DOI10.1016/S0377-0427(99)00239-3zbMath0943.34014OpenAlexW2033992093MaRDI QIDQ1963874

Ravi P. Agarwal, Donal O'Regan

Publication date: 3 February 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00239-3

zbMATH Keywords

lower and upper solutionssecond-order differential equationsnonlinear boundary value problemsingular boundary value problemnonlinear alternative of Leray-Schauder typegrowth restriction

Mathematics Subject Classification ID

Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (15)

Singular boundary value problems for the one-dimension \(p\)-Laplacian ⋮ Two-point higher-order BVPs with singularities in phase variables ⋮ Nonnegative solutions of singular boundary value problems with sign changing nonlinearities ⋮ On the one-dimensional \(p\)-Laplacian with a singular nonlinearity ⋮ Upper and lower solutions method for regular singular differential equations with quasi-derivative boundary conditions ⋮ Singular Dirichlet second-order BVPs with impulses. ⋮ Singular Lidstone boundary value problem with given maximal values for solutions. ⋮ Existence result for a singular nonlinear boundary value problem at resonance ⋮ Singular second-order multipoint dynamic boundary value problems with mixed derivatives ⋮ Nonuniform nonresonant singular Dirichlet boundary value problems for the one-dimensional \(p\)-Laplacian with sign changing nonlinearity ⋮ A multiplicity result for a singular generalized Sturm-Liouville boundary value problem ⋮ The monotone iterative method and zeros of Bessel functions for nonlinear singular derivative dependent BVP in the presence of upper and lower solutions ⋮ Solvability of singular second order \(m\)-point boundary value problems ⋮ Singular problems: An upper and lower solution approach ⋮ Positive solutions of singular Dirichlet and periodic boundary value problems

Cites Work

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• Iterative solution of negative exponent Emden-Fowler problems
• Singular differential equations with linear and nonlinear boundary conditions
• Upper and lower solutions for a generalized Emden-Fowler equation
• Positive solutions to superlinear singular boundary value problems
• Singular nonlinear boundary value problems for higher order ordinary differential equations
• A nonlinear singular boundary value problem
• Existence theorems for a singular two-point dirichlet problem

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