Positive solutions for a beam equation on a nonlinear elastic foundation

Authors:
To Fu Ma
Affiliations:
-
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2004

Citing 2
Cited 0

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

Nonlinear Analysis: Theory, Methods & Applications
Existence results and numerical solutions for a beam equation with nonlinear boundary conditions

Applied Numerical Mathematics - Special issue: 2nd international workshop on numerical linear algebra, numerical methods for partial differential equations and optimization

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Abstract

Positive solutions for a fourth-order differential equation with nonlinear boundary conditions modeling beams on elastic foundations are considered. The results are shown by using variational methods and a maximum principle for fourth-order equations.