Mathematics Colloquium

Friday, December 9

Time: 3:35 p.m. — 4:30 p.m.

Location: Science Center Room 323

Tags:  Arts and Sciences, Colloquia, Mathematics, Sciences

Cost:  Free

First Presentation

Speakers: Kareem Alanazi and Meshal Alshammari, University of Dayton 

Advisor: Paul Eloe

Title: Quasilinearization and Boundary Value Problems at Resonance

Abstract: The method of quasilinearization is applied to a boundary value problem at resonance.  Assuming the existence of upper and lower solutions, monotone sequences of approximate solutions, each a solution of a linear problem, are constructed.  The approximate solutions are shown to converge quadratically to a unique solution.

Second Presentation

Speaker: Badriah Alrashadi

Title: Packings of Various Complete Graphs with Isomorphic Copies of the 4-Cycle with a Pendant Edge

Abstract: We will discuss the decomposition and packing of various complete graphs into isomorphic copies of the four-cycle with a pendant edge.  For each type of complete graph, we will show that the necessary conditions are sufficient except for a limited case.

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