Eigenfunction expansion method for multiple solutions of fourth-order ordinary differential equations with cubic polynomial nonlinearity
The authors consider numerically solutions of the following nonlinear boundary value problem \[ \begin{aligned} &y^{(4)}+\alpha y'' +\beta y =f(y) +g(y),\quad x\in (0,1) \\ & y(0) =y(1)=y'' (0) =y'' (1)=0.\end{aligned} \] The Eigenvalue Expansion Method is used to obtain multiple solutions.
scientific article; zbMATH DE number 6862886
scientific article