Existence results and numerical solutions for a beam equation with nonlinear boundary conditions

Authors:
T. F. Ma
Affiliations:
Universidade Estadual de Maringá, 87020-900 Maringá, PR, Brazil
Venue:
Applied Numerical Mathematics - Special issue: 2nd international workshop on numerical linear algebra, numerical methods for partial differential equations and optimization
Year:
2003

Citing 2
Cited 4

Finite difference approximate solutions for the strongly damped extensible beam equations

Applied Mathematics and Computation
The dual variational principle and equilibria for a beam resting on a discontinuous nonlinear elastic foundation

Nonlinear Analysis: Theory, Methods & Applications

Upper and lower solution method for fourth-order four-point boundary value problems

Journal of Computational and Applied Mathematics
Positive solutions for a fourth order equation with nonlinear boundary conditions

Mathematics and Computers in Simulation
Positive solutions for a beam equation on a nonlinear elastic foundation

Mathematical and Computer Modelling: An International Journal
Buckling and longterm dynamics of a nonlinear model for the extensible beam

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.00

Visualization

Abstract

We study the existence of solutions of the nonlinear fourth order equation of Kirchhoff type u(iv)-m(∫0L|u'(s)|2ds)u''=f(x,u), under nonlinear boundary conditions which models the deformations of beams on elastic supports.