The existence of positive solutions for the Sturm-Liouville boundary value problems.

DOI10.1016/S0898-1221(98)00060-1zbMath1094.34505OpenAlexW2023776705MaRDI QIDQ1608459

Ravi P. Agarwal, Huei-Lin Hong, Cheh-Chih Yeh

Publication date: 6 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(98)00060-1

zbMATH Keywords

Sturm-Liouville boundary value problemFixed point theoremCone

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10)

Related Items (18)

The method of upper and lower solutions to impulsive differential equation with Sturm-Liouville integral boundary conditions ⋮ A variational approach of Sturm-Liouville problems with the nonlinearity depending on the derivative ⋮ Constant-sign and sign-changing solutions for the Sturm-Liouville boundary value problems ⋮ Multiple solutions of Sturm-Liouville boundary value problem via lower and upper solutions and variational methods ⋮ New existence theorems of positive solutions for Sturm-Liouville boundary value problems ⋮ The three-solutions theorem for \(p\)-Laplacian boundary value problems ⋮ Eigenvalue problems of second order impulsive differential equations ⋮ New fixed point theorems and applications to boundary value problems with \(p\)-Laplacian ⋮ Existence and iteration of positive solutions to a class of Sturm-Liouville-like \(p\)-Laplacian boundary value problems ⋮ Positive solutions for a four-point boundary value problem with the \(p\)-Laplacian ⋮ Successive iteration and positive symmetric solutions for some Sturm-Liouville-like four-point \(p\)-Laplacian boundary value problems ⋮ Variational approach for Sturm-Liouville boundary value problems on time scales ⋮ Sign-changing and multiple solutions of the Sturm-Liouville boundary value problem via invariant sets of descending flow ⋮ Existence of positive solutions for semipositone higher-order BVPs on time scales ⋮ Extremality Results for Discontinuous Sturm-Liouville Boundary Value Problems ⋮ Some fixed point theorems and existence of positive solutions of two-point boundary-value problems ⋮ Multiple positive solutions for a second order Sturm-Liouville boundary value problem with a \(p\)-Laplacian via variational methods ⋮ Eigenvalues of semi-positone Hammerstein integral equations and applications to boundary value problems

Cites Work

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• Existence of positive radial solutions for semilinear elliptic equations in the annulus
• Singular boundary value problems for superlinear second order ordinary and delay differential equations
• Non-negative solutions for a class of non-positone problems
• On the Existence of Positive Solutions of Ordinary Differential Equations
• Existence results for superlinear semipositone BVP’s
• On the existence of positive solutions of nonlinear second order differential equations

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