Twin solutions of boundary value problems for ordinary differential equations and finite difference equations (Q1600415)

The existence of at least two positive solutions is proved to the right focal boundary value problem \[ y''+ f(y)= 0,\quad y(0)= y'(1)= 0. \] The same is also proved to its discrete finite difference analogy. A fixed-point theorem by Avery and Henderson, which is presented without proof, is applied for this goal.