Alternative iterative technique

Abstract

The standard methods of applying iterative techniques do not apply when the nonlinear term is neither monotonic (corresponding to an increasing or decreasing operator) nor Lipshitz (corresponding to a condensing operator). However, by applying the Layered Compression–Expansion Theorem in conjunction with an alternative inversion technique, we show how one can apply monotonicity techniques to a right focal boundary value problem.

Keywords

• iteration
• alternate inversion
• layered
• sum of operators
• right focal problem