Advances in Dynamic Equations on Time Scales

Editors: Bohner, Martin, Peterson, Allan C. (Eds.)

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About this Textbook

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

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)


Table of contents (10 chapters)

  • Introduction to the Time Scales Calculus

    Bohner, Martin (et al.)

    Pages 1-15

  • Some Dynamic Equations

    Akin-Bohner, Elvan (et al.)

    Pages 17-46

  • Nabla Dynamic Equations

    Anderson, Douglas (et al.)

    Pages 47-83

  • Second Order Self-Adjoint Equations with Mixed Derivatives

    Messer, Kirsten

    Pages 85-116

  • Riemann and Lebesgue Integration

    Bohner, Martin (et al.)

    Pages 117-163

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-0-8176-8230-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-0-8176-4293-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-1-4612-6502-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Advances in Dynamic Equations on Time Scales
Editors
  • Martin Bohner
  • Allan C. Peterson
Copyright
2003
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-8176-8230-9
DOI
10.1007/978-0-8176-8230-9
Hardcover ISBN
978-0-8176-4293-8
Softcover ISBN
978-1-4612-6502-3
Edition Number
1
Number of Pages
XI, 348
Topics