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OUR GRADUATE STUDENTS' RESEARCH
1. Martin Eggensperger, M.S. Applied Mathematics, 2004, Ph.D. Candidate,
Applied Science, 2005-present. Academic Advisor: Dr. Nickolai Kosmatov
A paper entitled “Solution matching for a third order boundary value
problem on a time scale” (co-authored by Dr. Eric R. Kaufmann and
Dr. Nickolai Kosmatov) was presented by Mr. Eggensperger at the IV International
Conference on Dynamic Systems and Applications, May 21-24, 2003, Morehouse
College, Atlanta, GA. The paper was published in Electronic Journal of
Differential Equations:
Martin Eggensperger, Eric R. Kaufmann, and Nickolai Kosmatov, Solution
matching for a three-point boundary-value problem on a time scale, Electronic
J of Diff. Equ., Vol. 2004(2004), No. 91, pp. 1-7.
2. Jason Nobles, M.S. Applied Mathematics, 2004. Academic Advisor: Dr.
Eric R. Kaufmann
A paper entitled “Comparison of eigenvalues for a fourth order four-point
boundary value problem” was published in Electronic Journal of the
Qualitative Theory of Differential Equations. The paper is a joint work
with Dr. B. Karna, Marshall University, and Dr. Eric R. Kaufmann, The
University of Arkansas at Little Rock:
B. Karna, E. Kaufmann, and J. Nobles, Comparison of eigenvalues for a
fourth-order four-point boundary value problem, E. J. Qualitative Theory
of Diff. Equ., No. 15, (2005), pp. 1-9.
3. Britney Hopkins, Mathematics and Statistics, 2004-present. Academic
Advisor: Dr. Nickolai Kosmatov
A paper “The existence of solutions for nonconvex third order differential
inclusions” was presented by B. Hopkins at the 2005 Graduate Research
Forum of the University of Arkansas at Little Rock, at the 25th Annual
Southeastern-Atlantic Regional Conference on Differential Equations, October
7-8, 2005, Dayton University, Dayton, OH. The paper was published in Electronic
Journal of Qualitative Theory of Differential Equations:
B. Hopkins, Existence of solutions for nonconvex third order differential
inclusions, E. J. Qualitative Theory of Diff. Equ., No. 22, (2005), pp.
1-11.
4. Lindsay McMillan, Mathematics and Statistics, 2004-present. Academic
Advisor: Dr. Nickolai Kosmatov
A paper “Positive symmetric solutions of a semi-positone boundary
value problem for the p-Laplacian operator” (co-authored by N. Kosmatov)
was presented by L. McMillan at the 2005 Graduate Research Forum of the
University of Arkansas at Little Rock.
A paper entitled “Multiplicity of positive solutions to a boundary
value problem with the p-Laplacian operator” (co-authored by N.
Kosmatov) was presented at the 25th Annual Southeastern-Atlantic Regional
Conference on Differential Equations, October 7-8, 2004, Dayton University,
Dayton, OH. The paper was accepted for publication in the journal Communications
on Applied Nonlinear Analysis:
N. Kosmatov and L. McMillan, Multiplicity of positive solutions to a boundary
value problem with the p-Laplacian operator, Comm. Appl. Nonlinear Anal.,
to appear.
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