Positive solutions for a fourth order equation with nonlinear boundary conditions

DOI10.1016/j.matcom.2010.04.011zbMath1202.34063OpenAlexW1987926705MaRDI QIDQ991302

André Luís Machado Martinez, T. F. Ma

Publication date: 2 September 2010

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.04.011

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Applications of boundary value problems involving ordinary differential equations (34B60)

Related Items (12)

Existence and multiplicity of solutions for nonlocal fourth-order elliptic equations with combined nonlinearities ⋮ A Galerkin–Newton Algorithm for Solution of a Kirchhoff-Type Static Equation ⋮ Positive solutions for a singular superlinear fourth-order equation with nonlinear boundary conditions ⋮ Infinitely Many Solutions for Schrödinger–Kirchhoff-Type Fourth-Order Elliptic Equations ⋮ A note about positive solutions for an equation of Kirchhoff type ⋮ On fourth-order elliptic equations of Kirchhoff type with dependence on the gradient and the Laplacian ⋮ Iterative method for solving a beam equation with nonlinear boundary conditions ⋮ Existence results and iterative method for solving a nonlinear biharmonic equation of Kirchhoff type ⋮ Existence of solutions for fourth order elliptic equations of Kirchhoff type ⋮ Numerical solution of the static beam problem by Bernoulli collocation method ⋮ Multiple solutions for a fourth order equation with nonlinear boundary conditions: theoretical and numerical aspects ⋮ Existence and multiplicity of solutions for fourth-order elliptic Kirchhoff equations with potential term

Cites Work

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