Mathematics Colloquium

Thursday, April 12

Time: 3:35 p.m. — 4:30 p.m.

Location: Science Center Room 323

Tags:  Colloquia, Mathematics, Sciences

Cost:  Free

Speaker: Jabr Aljedani, University of Dayton

Advisor: Paul Eloe

Title: Uniqueness and Existence of Solutions of Boundary Value Problems at Resonance for Ordinary Differential Equations

Abstract: A quasilinearization algorithm is developed for a specific boundary value problem at resonance. To do so, a standard monotonicity condition and a new monotonicity condition are assumed to obtain uniqueness of solutions for the boundary value problem at resonance. Then the method of upper and lower solutions and a shift method are applied to obtain the existence of solutions. A quasilinearization algorithm is developed and sequences of approximate solutions are constructed that converge monotonically and quadratically to the unique solution of the boundary value problem at resonance. This talk focuses on the monotone convergence of the approximate solutions.

Refreshments are available at 3:00 PM in SC 313F.

The department colloquia are held every Thursday (excluding holidays) at 3:35 pm in room SC 323 unless otherwise noted. All are invited to attend. 

Contact Information:

Name:  Paul Eloe
Email:  peloe1@udayton.edu