Uniqueness of positive solutions for a class of fourth-order boundary value problems
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Publication:554912
DOI10.1155/2011/543035zbMath1222.34027OpenAlexW2020853437WikidataQ58654289 ScholiaQ58654289MaRDI QIDQ554912
J. Harjani, Kishin Sadarangani, Josefa Caballero
Publication date: 22 July 2011
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2011/543035
Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)
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Cites Work
- Monotone iterative technique and symmetric positive solutions for a fourth-order boundary value problem
- Infinitely many solutions of superlinear fourth order boundary value problems
- Positivity and lower and upper solutions for fourth order boundary value problems
- Existence and location result for a fourth order boundary value problem
- Existence and uniqueness of positive and nondecreasing solutions for a class of singular fractional boundary value problems
- The method of lower and upper solutions for a bending of an elastic beam equation
- On positive solutions of some nonlinear fourth-order beam equations
- Upper and lower solution methods for fully nonlinear boundary value problems
- Fourth-order problems with nonlinear boundary conditions
- Existence and multiplicity of solutions for fourth-order boundary value problems with three parameters
- A monotone method for fourth order value problems involving a factorizable linear operator
- Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
- Existence of positive solutions of a fourth-order boundary value problem
- Existence and uniqueness theorems for some fourth order fully quasilinear boundary value problems
- The Method of Upper and Lower Solutions for a Lidstone Boundary Value Problem
- Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions
- Uniqueness and exact multiplicity of solutions for a class of fourth-order semilinear problems
- Existence and multiplicity of solutions of a fourth order equation
- A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
