A uniqueness and existence theorem for a singular third-order boundary value problem on \([0,\infty)\)

DOI10.1016/S0893-9659(01)00157-4zbMath1021.34020OpenAlexW1996953612MaRDI QIDQ1861786

Ravi P. Agarwal, Daqing Jiang

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(01)00157-4

zbMATH Keywords

existenceuniquenesspositive solutionsingular nonlinear second-order initial value problemsingular third-order boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Flows in porous media; filtration; seepage (76S05) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Applications of boundary value problems involving ordinary differential equations (34B60) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (31)

Solvability for second-order three-point boundary value problems on a half-line ⋮ Twin monotone positive solutions to a singular nonlinear third-order differential equation ⋮ Nontrivial solution of third-order nonlinear eigenvalue problems. II ⋮ Uniqueness of solutions for third-order two-point boundary value problems ⋮ An existence theorem for a singular third-order boundary value problem on \([0,+\infty)\) ⋮ Nonlinear three-point third-order boundary value problems ⋮ Positive solutions of a singular nonlinear third order two-point boundary value problem ⋮ Existence of solutions for a class of third-order nonlinear boundary value problems ⋮ Third-order boundary value problems with sign-changing solutions ⋮ Existence and uniqueness results for third-order nonlinear differential systems ⋮ Unnamed Item ⋮ Existence and monotone iteration of positive pseudosymmetric solutions for a third-order four-point BVP ⋮ Upper and lower solution method for \(n\)th-order BVPs on an infinite interval ⋮ Multiplicity of positive periodic solutions of singular semipositone third-order boundary value problems ⋮ Second order boundary value problems on an unbounded domain ⋮ Several existence theorems of monotone positive solutions for third-order multipoint boundary value problems ⋮ Solvability for second-order three-point boundary value problems at resonance on a half-line ⋮ Finding approximate solutions for a class of third-order non-linear boundary value problems via the decomposition method of Adomian ⋮ Existence and monotone iteration of positive pseudosymmetric solutions for a third-order four-point BVP with \(p\)-Laplacian ⋮ Nontrivial solution of third-order nonlinear eigenvalue problems ⋮ Existence of positive solutions for Sturm-Liouville boundary value problems on the half-line ⋮ Existence of unbounded solutions for a third-order boundary value problem on infinite intervals ⋮ Existence and uniqueness of a nontrivial solution for a class of third-order nonlinear \(p\)-Laplacian \(m\)-point eigenvalue problems on time scales ⋮ Successive iteration and positive solutions for a third-order multipoint generalized right-focal boundary value problem with \(p\)-Laplacian ⋮ Existence of solutions for a third-order boundary value problem with \(p\)-Laplacian operator and nonlinear boundary conditions ⋮ Eigenvalue problems for nonlinear third-orderm-pointp-Laplacian dynamic equations on time scales ⋮ Third-order differential equations with three-point boundary conditions ⋮ Existence of three positive solutions for \(m\)-point boundary value problems on infinite intervals ⋮ Existence of solutions for \(m\)-point boundary value problems on a half-line ⋮ Existence of positive solutions for a singular third-order two-point boundary value problem on the half-line ⋮ Solvability of a third-order three-point boundary value problem on a half-line

Cites Work

• A boundary value problem from draining and coating flows involving a third-order ordinary differential equation
• Positive solutions to singular initial value problems with sign changing nonlinearities.
• A Numerical and Asymptotic Study of Some Third-Order Ordinary Differential Equations Relevant to Draining and Coating Flows
• Solutions of Third-Order Differential Equations Relevant to Draining and Coating Flows
• Two Problems from Draining Flows Involving Third-Order Ordinary Differential Equations

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