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Advances in Dynamic Equations on Time Scales

  • Martin Bohner
  • Allan Peterson

Table of contents

  1. Front Matter
    Pages i-xi
  2. Martin Bohner, Gusein Guseinov, Allan Peterson
    Pages 1-15
  3. Elvan Akin-Bohner, Martin Bohner
    Pages 17-46
  4. Douglas Anderson, John Bullock, Lynn Erbe, Allan Peterson, HoaiNam Tran
    Pages 47-83
  5. Martin Bohner, Gusein Guseinov
    Pages 117-163
  6. Elvan Akin-Bohner, Ferhan Merdivenci Atici, Billûr Kaymakçalan
    Pages 165-188
  7. Douglas Anderson, Richard Avery, John Davis, Johnny Henderson, William Yin
    Pages 189-249
  8. Ravi Agarwal, Martin Bohner, Donal O’Regan
    Pages 275-291
  9. Ondřej Došlý, Stefan Hilger, Roman Hilscher
    Pages 293-334
  10. Back Matter
    Pages 335-348

About this book

Introduction

The subject of dynamic equations on time scales continues to be a rapidly growing area of research. Behind the main motivation for the subject lies the key concept that dynamic equations on time scales is a way of unifying and extending continuous and discrete analysis.
This work goes beyond an earlier introductory text Dynamic Equations on Time Scales: An Introduction with Applications (ISBN 0-8176-4225-0) and is designed for a second course in dynamic equations at the graduate level.
Key features of the book:
excellent introductory material on the calculus of time scales and dynamic equations * numerous examples and exercises * covers the following topics: the exponential function on time scales, boundary value problems, positive solutions, upper and lower solutions of dynamic equations, integration theory on time scales, disconjugacy and higher order dynamic equations, delta, nabla, and alpha dynamic equations on time scales * unified and systematic exposition of the above topics with good transitions from chapter to chapter * useful for a second course in dynamic equations at the graduate level, with directions suggested for future research * comprehensive  bibliography and index * useful as a comprehensive resource for pure and applied mathematicians

Contributors: R. Agarwal, E. Akin-Bohner, D. Anderson, F. Merdivenci Atici, R. Avery, M. Bohner, J. Bullock, J. Davis, O. Dosly, P. Eloe, L. Erbe, G. Guseinov, J. Henderson, S. Hilger, R. Hilscher, B. Kaymakalan, K. Messer, D. O'Regan, A. Peterson, H. Tran, W. Yin

Keywords

Boundary value problem ODEs calculus difference equations linear optimization numerical mathematics

Editors and affiliations

  • Martin Bohner
    • 1
  • Allan Peterson
    • 2
  1. 1.Department of Mathematics & StatisticsUniversity of Missouri-RollaRollaUSA
  2. 2.Department of Mathematics & StatisticsUniversity of Lincoln-NebraskaLincolnUSA

Bibliographic information