Monotone positive solutions for an elastic beam equation with nonlinear boundary conditions

DOI10.1155/2011/609189zbMath1235.74374OpenAlexW2107020164WikidataQ58693290 ScholiaQ58693290MaRDI QIDQ410479

Xian-Qiang Wang, Jian Ping Sun

Publication date: 3 April 2012

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/609189

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10)

Related Items (9)

Existence results for a kind of fourth-order impulsive integral boundary value problems ⋮ Symmetric positive solutions for fourth-order \(n\)-dimensional \(m\)-Laplace systems ⋮ Positive solutions of singular beam equations with the bending term ⋮ New existence theory of positive solutions to fourth order \(p\)-Laplacian elasticity problems ⋮ Existence and multiplicity of positive solutions to a fourth-order impulsive integral boundary value problem with deviating argument ⋮ Existence and location of solutions to fourth-order Lidstone coupled systems with dependence on odd derivatives ⋮ Positive solutions for classes of multi-parameter fourth-order impulsive differential equations with one-dimensional singular \(p\)-Laplacian ⋮ Multi-parameter fourth order impulsive integral boundary value problems with one-dimensional \(m\)-Laplacian and deviating arguments ⋮ Triple positive solutions of fourth-order impulsive differential equations with integral boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Existence and iteration of monotone positive solution of BVP for an elastic beam equation
• On fourth order boundary value problems arising in beam analysis
• Existence and multiplicity of positive solutions to a singular elastic beam equation rigidly fixed at both ends
• Existence and iteration of monotone positive solutions for an elastic beam equation with a corner
• Monotone positive solutions for a fourth order equation with nonlinear boundary conditions
• Existence and uniqueness theorems for fourth-order boundary value problems
• Positive solutions of fourth-order boundary value problems with two parameters
• Monotone iterative technique and positive solutions of lidstone boundary value problems.
• Positive solutions of fourth-order two point boundary value problems.
• On positive solutions of some nonlinear fourth-order beam equations
• Upper and lower solution methods for fully nonlinear boundary value problems
• Positive solutions for eigenvalue problems of fourth-order elastic beam equations.
• The upper and lower solution method for some fourth-order boundary value problems
• Monotonically iterative method of nonlinear cantilever beam equations
• Positive solutions for some beam equation boundary value problems
• The monotone iterative technique for three-point second-order integrodifferential boundary value problems with \(p\)-Laplacian
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• On the existence of positive solutions of fourth-order ordinary differential equations

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