Overview
- Editors:
-
-
Martin Bohner
-
Department of Mathematics & Statistics, University of Missouri-Rolla, Rolla, USA
-
Allan Peterson
-
Department of Mathematics & Statistics, University of Lincoln-Nebraska, Lincoln, USA
Access this book
Other ways to access
About this book
The development of time scales is still in its infancy, yet as inroads are made, interest is gathering steam. Of a great deal of interest are methods being intro duced for dynamic equations on time scales, which now explain some discrepancies that have been encountered when results for differential equations and their dis crete counterparts have been independently considered. The explanations of these seeming discrepancies are incidentally producing unifying results via time scales methods. The study of dynamic equations on time scales is a fairly new subject, and research in this area is rapidly growing. It has been created in order to unify continuous and discrete analysis, and it allows a simultaneous treatment of dif ferential and difference equations, extending those theories to so-called dynamic equations. An introduction to this subject is given in Dynamic Equations on Time Scales: An Introduction with Applications (MARTIN BOHNER and ALLAN PETER SON, Birkhauser, 2001 [86]). The current book is designed to supplement this introduction and to offer access to the vast literature that has already emerged in this field. It consists of ten chapters, written by an international team of 21 experts in their areas, thus providing an overview of the recent advances in the theory on time scales. We want to emphasize here that this book is not just a collection of papers by different authors.
Similar content being viewed by others
Article
Open access
02 April 2019
Article
Open access
23 September 2019
Table of contents (10 chapters)
-
-
- Martin Bohner, Gusein Guseinov, Allan Peterson
Pages 1-15
-
- Elvan Akin-Bohner, Martin Bohner
Pages 17-46
-
- Douglas Anderson, John Bullock, Lynn Erbe, Allan Peterson, HoaiNam Tran
Pages 47-83
-
-
- Martin Bohner, Gusein Guseinov
Pages 117-163
-
- Elvan Akin-Bohner, Ferhan Merdivenci Atici, Billûr Kaymakçalan
Pages 165-188
-
- Douglas Anderson, Richard Avery, John Davis, Johnny Henderson, William Yin
Pages 189-249
-
-
- Ravi Agarwal, Martin Bohner, Donal O’Regan
Pages 275-291
-
- Ondřej Došlý, Stefan Hilger, Roman Hilscher
Pages 293-334
-
Back Matter
Pages 335-348
Reviews
From the reviews:
"The book can be used as a textbook for a second course in dynamic equations...and is an indispensable mongraph for every researcher in the field of dynamic equations on time scale and related topics." ---Mathmatica Bohemica
“The monograph under review comes at an excellent time in the rapid development of dynamic equations on time scales. Both authors are authorities in this field of study and they have produced an excellent introduction to it. Much of the material is accessible to upper-level undergraduate mathematics majors, and yet, the results and the techniques are pertinent to active researchers in the area.”(MATHEMATICAL REVIEWS)
Editors and Affiliations
-
Department of Mathematics & Statistics, University of Missouri-Rolla, Rolla, USA
Martin Bohner
-
Department of Mathematics & Statistics, University of Lincoln-Nebraska, Lincoln, USA
Allan Peterson