تخفيض ليابونوف-شمدت في دراسة حلول التفرع للمعادلة التفاضلية غير الخطية من الرتبة السادسة

الملخص EN

In this article, for bifurcation analysis and bifurcation diagram, the nonlinear sixth-order differential equation was studied.

We have also shown that by the local method of Lyapunov-Schmidt the bifurcation equation corresponding to the sixth-order wave equation of elastic beams is given by the nonlinear system of two algebraic equations