Uniqueness of Solutions of Boundary Value Problems at Resonance
Document Type
Article
Publication Date
2018
Publication Source
Advances in the Theory of Nonlinear Analysis and its Applications
Abstract
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.
Inclusive pages
168-183
ISBN/ISSN
2587-2648
Publisher
Erdal Karapinar
Volume
2
Issue
3
Peer Reviewed
yes
eCommons Citation
Aljedani, Jabr and Eloe, Paul W., "Uniqueness of Solutions of Boundary Value Problems at Resonance" (2018). Mathematics Faculty Publications. 209.
https://ecommons.udayton.edu/mth_fac_pub/209
COinS
