v Research papers
·
Leigh C. Becker
Uniformly continuous L1 solutions of Volterra equations and global asymptotic
stability
(submitted for publication to CUBO, A Mathematical Journal)
·
Leigh C. Becker
Function bounds for solutions of Volterra equations and exponential asymptotic
stability
Nonlinear
Analysis: Theory, Methods & Applications 67, No. 2 (July 2007), pp. 382-397.
Digital Object Identifier Information: doi:10.1016/j.na.2006.05.016
Abstract (PDF
format) Abstract (DVI format) Abstract
(Science Direct [www.sciencedirect.com])
·
Leigh C. Becker
Principal
matrix solutions and variation of parameters for a Volterra
integro-differential equation and its adjoint
Electronic Journal of Qualitative
Theory of Differential Equations, No. 14
(2006), pp. 1-22.
To
download the paper in PDF format, click here.
To
download the paper in DVI or PostScript format, click here.
·
Leigh C. Becker and T. A. Burton
Stability, fixed points and inverses of delays
Proceedings
of the Royal Society of Edinburgh, 136A, No. 2 (May 2006), pp. 245–275.
Abstract (PDF format) Abstract
(DVI format) Abstract
(IngentaConnect [www.ingentaconnect.com])
·
Leigh C. Becker and T. A. Burton
Jensen’s Inequality and Liapunov’s Direct Method
CUBO, A Mathematical Journal 6, No. 3
(October 2004), pp. 67–90.
Abstract (PDF
format) Abstract (DVI format) Abstract (PostScript format) Abstract (MS Word)
Download preprint (PDF format)
Photos
of authors:
L. C. Becker & T. A. Burton
at the AMS Meeting in
Becker at the
·
L. C. Becker, T. A. Burton, and S.
Zhang
Functional
differential equations and Jensen's inequality
Journal
of Mathematical Analysis and Applications 138, No. 1 (1989), Academic
Press,
Download preprint (pdf format) Download preprint (dvi format)
·
L. C. Becker and T. A. Burton
Asymptotic
stability criteria for delay-differential equations
Proceedings
of the Royal Society of Edinburgh 110A (1988), pp. 31–44.
·
L. C. Becker, , T. A. Burton, and
T. Krisztin
Floquet
Theory for a Volterra equation
Journal
of the London Mathematical Society (2) 37 (1988), pp. 141–147.
·
L. C. Becker, T. A. Burton, and S.
Zhang
Functional
differential equations and Jensen's Inequality
Dynamics of Infinite Dimensional
Systems (Hale, J. K. and Chow, S. N., eds.)
NATO
ASI Series, Vol. F37 (1987),
v
Other
publications
·
Leigh C. Becker
Scalar
Volterra Integro-Differential Equations
Maple
Application Center
(August 2007).
(To
view the HTML version or to download the Maple worksheet, click on the above
hyperlink.)
·
Leigh C. Becker and Micah Wheeler
Numerical
and Graphical Solutions of Volterra Integral Equations of the Second Kind
Maple
Application Center
(June 2005).
(To
view the HTML version or to download the Maple worksheet, click on the above
hyperlink.)
·
L. C. Becker
Review of Functional differential equations and Jensen's Inequality in Zentralblatt
für Mathematik (1988).
·
Leigh C. Becker
Setting the
Stage with APR Problems
Mathematics and Computer Education (1984, Fall), 18(3), pp.
189–195.
Included in the University of
South Florida Center for Teaching Enhancement’s Critical
& Creative Thinking Skills Mathematics Bibliography.
v
Dissertation
·
Leigh C. Becker
Stability Considerations for
Volterra Integrodifferential Equations
Ph.D. dissertation, Southern Illinois University at
Download dissertation (pdf format)
v Acknowledgements of solutions of problems
·
Problem 82-19: A binomial coefficient
summation, SIAM Review 25 (1983), p. 576.
·
Problem 184: TYCMJ (now the College Mathematics Journal) 13, No. 3 (1982), p. 211.
·
Problem 194: TYCMJ (now the
College Mathematics Journal) 13,
No. 5 (1982), p. 341.
v
Unpublished
o Research paper
·
Leigh C. Becker and T. A. Burton
Singular
Liapunov Functionals (work in progress)
o Textbook with ancillaries
·
Leigh C. Becker
Ordinary Differential
Equations: Concepts, Methods, and Models
CBU Press, 2008–2009
edition, 451 pages (work in progress)
·
Leigh C. Becker
Complete Solutions of Selected Problems for Ordinary
Differential Equations: Concepts, Methods, and Models
Web site: www.cbu.edu/~lbecker/231Ans.htm
·
Leigh C. Becker
Maple
worksheets for Ordinary Differential Equations: Concepts, Methods, and Models
Web site:
www.cbu.edu/~lbecker/Maple/M231/231maple.htm
o
Miscellanea
·
L. C. Becker
ODE Experiments
Using Maple, CBU Press, 1998.
·
L. C. Becker
The
function y = (1 + 1/x)x and the number e, (Lab 4 in Laboratory
Manual for Calculus II)
v Presentations
·
July 4, 2008 – WCNA 2008 in
Photos:
Speakers at the “Qualitative Properties &
Application of Functional Equations” session (July 4 & 5, 2008):
Muhammad Islam, Min He,
Alphonso Casal, Colleen Kirk, T. A. Burton, Tetsuo Furumochi,
Leigh C. Becker, Bo Zhang, Youssef Raffoul, Liancheng Wang, &
Henri Schurz (not shown)
Lynne Marie Becker
at the Hyatt Grand
·
March 16, 2007 – “Asymptotic
Stability for Scalar Linear Volterra Integro-Differential Equations,” Mathematical Association of America Southeastern Section 86th Annual
·
January 5-8, 2005 – Joint Mathematics Meetings in
·
July 1, 2004 – WCNA 2004 in
·
March 26, 2004 – “Fixed Points and
Stability of an Equation with Variable Delay” (with T. A. Burton), Mathematical Association of America Southeastern Section meeting,
·
June 21, 2002 – “Jensen’s
Inequality and Liapunov’s Direct Method,” Special Session on Qualitative
Properties and Applications of Functional Equations, American
Mathematical Society Meeting in
·
November 6, 2001 – “Mathematical
Scientists & What They Do,” Mu Alpha Theta Induction Ceremony 2001 at Ridgeway
High School.
·
October 21, 2000 – At the request
of Institutional Advancement, talked at Sacred
Heart Catholic Church in
·
September 25, 1997 – “Maple in CBU
Mathematics Courses,” CBU President’s Circle.
·
August 22, 1996 – presented a
demonstration of a Maple lesson entitled “Integral Curves and Contours
of Exact Equations”, CBU President’s Workshop.
·
February 9, 1996 – talk to the CBU
student chapter of the MAA entitled “She loves me, she loves me not” (linear
system of ordinary differential equations).
·
August 30, 1990 ─
"Simulating and Stimulating with Baseball Cards," Mathematics &
Computer In-Service, Ridgeway
High School,
·
November 10-11, 1989 ─
“Asymptotic Stability Criteria for Delay-Differential Equations,” 18th Midwest
Differential Equations Conference, Southern Illinois University at Carbondale.
·
August 1988 ─ conducted two
days of a four-day workshop for Memphis high school mathematics teachers on elementary
differential equations in the BC calculus curriculum. Participants were shown how to use the HP-28S
calculator when solving and graphing ordinary differential equations.
·
December 2, 1987 ─ “Floquet
Theory for Volterra Equations II”, Differential Equations Seminar, University of Memphis.
·
November 25, 1987 ─ “Floquet
Theory for Volterra Equations I”, Differential Equations Seminar, University of Memphis.
·
October 23-24, 1987 ─
co-author of “Floquet Theory for Volterra Equations”, Midwest-Southeast
Differential Equations Conference, Vanderbilt University,
·
1983 – consulting work on a
mathematical model of a shutter for a certain type of camera for DeZign
Corporation.
·
May 13, 1982 – “A Variation of
Parameters Formula for Volterra Integral Equations”, Mathematical Sciences
Colloquium, University of Memphis.
·
April, 1982 – “Setting the Stage
with APR Problems”, regional Mathematical Association of America meeting at Emory University in
·
January 25, 1979 – “Some Results
for Volterra Integrodifferential Equations”, American Mathematical
Society Session on Ordinary Differential Equations,
