Monotone positive solution of a fourth-order BVP with integral boundary conditions
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Publication:283625
DOI10.1186/s13661-015-0441-2zbMath1341.34033OpenAlexW1942870365WikidataQ59434207 ScholiaQ59434207MaRDI QIDQ283625
Minghe Pei, Xuezhe Lv, Libo Wang
Publication date: 13 May 2016
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-015-0441-2
existencenonexistenceintegral boundary conditionmonotone positive solutionfourth-order differential equation
Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)
Related Items (8)
A cantilever beam problem with small deflections and perturbed boundary data ⋮ Approximating monotone positive solutions of a nonlinear fourth-order boundary value problem via sum operator method ⋮ Existence and multiplicity of positive solutions to a fourth-order impulsive integral boundary value problem with deviating argument ⋮ On the fourth-order nonlinear beam equation of a small deflection with nonlocal conditions ⋮ Existence results and iterative method for a fully fourth-order nonlinear integral boundary value problem ⋮ Existence results and iterative method for fully third order nonlinear integral boundary value problems. ⋮ Positive solutions for a system of fourth-order differential equations with integral boundary conditions and two parameters ⋮ Monotone positive solution of fourth order boundary value problem with mixed integral and multi-point boundary conditions
Cites Work
- Unnamed Item
- Existence and iteration of monotone positive solution of BVP for an elastic beam equation
- Monotone iterative technique and symmetric positive solutions for a fourth-order boundary value problem
- Monotone positive solution of nonlinear third-order BVP with integral boundary conditions
- A note on a beam equation with nonlinear boundary conditions
- Iterative methods for a fourth order boundary value problem
- A necessary and sufficient condition for existence of positive solutions of nonlinear boundary value problems
- Positive solutions for a class of boundary-value problems with integral boundary conditions
- Constructive proof of existence for a class of fourth-order nonlinear BVPs
- Positive solutions for fourth-order differential equations with deviating arguments and integral boundary conditions
- Existence and uniqueness of solutions for a fourth-order boundary value problem
- Lower and upper solutions for a fully nonlinear beam equation
- Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem
- Computation of displacements for nonlinear elastic beam models using monotone iterations
- Solvability of some fourth (and higher) order singular boundary value problems
- A three point boundary value problem for nonlinear fourth order differential equations.
- The dual variational principle and equilibria for a beam resting on a discontinuous nonlinear elastic foundation
- Upper and lower solution methods for fully nonlinear boundary value problems
- Positive solutions for eigenvalue problems of fourth-order elastic beam equations.
- Positive solutions for a beam equation on a nonlinear elastic foundation
- Fourth-order problems with nonlinear boundary conditions
- A class of fourth order singular boundary value problems
- A numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations
- A monotone method for constructing extremal solutions to fourth-order periodic boundary value problems.
- Fixed-point theory for the sum of two operators
- The upper and lower solution method for some fourth-order boundary value problems
- Solvability of a fourth-order boundary value problem with integral boundary conditions
- Positive solutions to fourth-order singular boundary value problems with integral boundary conditions in abstract spaces
- Fully nonlinear fourth-order equations with functional boundary conditions
- POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
- Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions
- Existence and uniqueness theorems for the bending of an elastic beam equation
- Existence for a Fourth-Order Boundary Value Problem under a Two-Parameter Nonresonance Condition
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