Nonlinear Ritz approximation for Fredholm functionals

Abstract

In this article we use the modify Lyapunov-Schmidt reduction to find nonlinear Ritz approximation for a Fredholm functional. This functional corresponds to a nonlinear Fredholm operator defined by a nonlinear fourth-order differential equation.

Keywords

• Bifurcation theory
• Lyapunov-Schmidt local method
• nonlinear fourth-order differential equation