Positive and negative solutions of one-dimensional beam equation
From MaRDI portal
Publication:896440
DOI10.1016/j.aml.2015.06.019zbMath1331.34036OpenAlexW1035504676MaRDI QIDQ896440
Pavel Drábek, Gabriela Holubová
Publication date: 9 December 2015
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2015.06.019
Theoretical approximation of solutions to ordinary differential equations (34A45) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Linear boundary value problems for ordinary differential equations (34B05)
Related Items (19)
On a fourth-order boundary value problem at resonance ⋮ Global bifurcation of sign-changing radial solutions of elliptic equations of order \(2m\) in annular domains ⋮ On a discontinuous beam-type equation with deviating argument in the curvature ⋮ A Numerical Approach Technique for Solving Generalized Delay Integro-Differential Equations with Functional Bounds by Means of Dickson Polynomials ⋮ Positive solutions for nonlocal extended Fisher-Kolmogorov and Swift-Hohenberg equations ⋮ Positive solutions for fourth-order equations with a sign-changing weight and clamped beam boundary conditions ⋮ A numerical method for solving some model problems arising in science and convergence analysis based on residual function ⋮ The method of lower and upper solutions for fourth order equations with the Navier condition ⋮ New fixed point theorem for discontinuous operators in cones and applications ⋮ Global structure of positive solutions for a fourth-order boundary value problem with singular data ⋮ Existence of solutions to nonlinear fourth-order beam equation ⋮ Suspension bridges with non-constant stiffness: bifurcation of periodic solutions ⋮ The Dirichlet problem for the fourth order nonlinear ordinary differential equations at resonance ⋮ Lower and upper solutions method for a problem of an elastic beam whose one end is simply supported and the other end is sliding clamped ⋮ Lower and upper solution method for the problem of elastic beam with hinged ends ⋮ Positive solutions of a discontinuous one-dimensional beam equation ⋮ Extending the threshold values for inverse-positivity of a linear fourth order operator ⋮ ON SOLUTIONS OF BOUNDARY VALUE PROBLEM FOR FOURTH-ORDER BEAM EQUATIONS ⋮ On the maximum and antimaximum principles for the beam equation
Cites Work
- Unnamed Item
- Nonlinear models of suspension bridges: discussion of the results.
- Positivity and lower and upper solutions for fourth order boundary value problems
- Operator inequalities
- A clamped plate with a uniform weight may change sign
- In any dimension a ``clamped plate with a uniform weight may change sign
- Fourth-Order Two-Point Boundary Value Problems
- A Uniqueness Theorem for a Boundary Value Problem
- Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
This page was built for publication: Positive and negative solutions of one-dimensional beam equation