Uniqueness of Solutions of Boundary Value Problems at Resonance
Advances in the Theory of Nonlinear Analysis and its Applications
In this paper, the method of upper and lower solutions is employed to obtain uniqueness of solutions for a boundary value problem at resonance. The shift method is applied to show the existence of solutions. A monotone iteration scheme is developed and sequences of approximate solutions are constructed that converge monotonically to the unique solution of the boundary value problem at resonance. Two examples are provided in which explicit upper and lower solutions are exhibited.
Aljedani, Jabr and Eloe, Paul W., "Uniqueness of Solutions of Boundary Value Problems at Resonance" (2018). Mathematics Faculty Publications. 209.