Items of interest to Math 108H students:
Papers of REU and McNair students.
With S. Huff, G. Olumolode, and N. Pennington, Discrete and
Continuous Dynamical Systems, to appear.
Oscillation of an Euler--Cauchy dynamic equation.
J. DeVries and A. Humel, .
Oscillation of factored dynamic equation.
With R. Higgins, Proc. of the Sixth International Conference on Diff. Equations, Edited by B. Aulbach, S. Elaydi, and G. Ladas, Chapman and Hall/CRC 2004, 299--308. Cauchy functions and Taylor's theorem for time scales.
E. Merrel, R. Ruger, and J. Severs, PanAmerican Math. J., 14:1 (2004) 83--104. First-order recurence relations on isolated time scales.
A. Gray, D. Lovit, and S. Spriggs, PanAmerican Math. J., 1 (2005) 49--64. Oscillation Theorems for a self-adjoint dynamic equation on a time scale.
S. Avsec, B. Bannish, B. Johnson, and S. Meckler, PanAmerican Math. J., 16 (2006) 77--98.
The Henstock-Kurzweil delta integral on unbounded time scales.
M. Rashford, J. Siloti, and J. Wrolstad, PanAmerican Math. J., 16 (2006) 61-73.
Exponential stability of dynamic equations on time scales.
Here is my Photo Gallery of my classes
Here is my
AbiTUMath Photo Gallery Easter, 2005
Here is a list of my AbiTUMath Students
Here are famous mathematicians on
postage stamps.
Researchers in Time Scales:
Here is a
link to a list of authors of at least one paper on time scales
and their e-mail addresses. Let me know if you want to be on this
list.
Here is my
Mathematician Photo Gallery
Summer 2002 RMMC Conference at the University
of Wyoming:
Here is a
link to an announcement of the 2002 RMMC held at the University
of Wyoming.
Here is a
link to a list of the participants of the 2002 RMMC held at the
University of Wyoming.
Recent Publications
Here is a
link to my recent publications.
Text Books by Allan Peterson:
- Difference Equations: An Introduction With Applications,
Academic Press, New York
(1991) (with Walter Kelley)
- Discrete
Hamiltonian Systems:
Difference Equations, Continued Fractions, and Riccati Equations
, Kluwer Academic
Publishers, Boston (1996) (with Calvin Ahlbrandt)
- Difference Equations: An Introduction With Applications, Second
Edition, Academic
Press, New York (2001) (with Walter Kelley)
Here is the Errata
for this book.
Here is an important Correction
for this book (this file looks funny but prints fine).
Here are some Additional
Exercises and Answers.
- Dynamic Equations on Time Scales: An Introduction with
Applications, Birkhauser,
Boston (2001) (with Martin Bohner).
Here is the Errata for
this book.
Here are some Additional
Exercises and Answers for this book.
- Advances in Dynamic Equations on Time Scales, Birkhauser,
Boston, 2003
(with Martin Bohner).
Here is the Errata for
this book.
- The Theory of Differential Equations: Classical and Qualitative,
Prentice Hall (with Walter Kelley).
Here is the Errata
for this book.
Journals For Which I'm On The Editorial Board:
- Journal of Mathematical Analysis and Applications (JMAA), 2001-2007.
- Journal of Difference Equations and Applications (JDEA), 1996-present.
- Journal of Spectral Mathematics and Its Applications (JSMA).
- Abstract and Applied Analysis (AAA), 2007-present.
- International Journal of Applied Mathematical Sciences (IJAMS).
- International Journal on Applied Mathematics.
- Global Journal of Pure and Applied Mathematics (GJPAM), 2006-present.
- International Journal of Theoretical and Applied Mathematics (IJTAM).
- International Journal of Dynamical Systems and Differential Equations, 2007-present.
- Mathematics Applied in Science and Technology (MAST), 2006-present.
- Journal of Mathematical Inequalities (JMI), 2007-present.
- PanAmerican Mathematical Journal, 1991-present.
- Mathematical Sciences Research Journal, 199?-present.
- International Journal on Difference Equations (IJDE), 2006-present.
Here is a
link to the latest issue of the newsletter
"Difference Equations/Discrete Dynamical Systems."
Here is a link a list of my research collaborators.
Here are a few of my racquetball friends: link
Other links:
- Math Dept
- UNL
Mail to: apeterso@math.unl.edu