Dynamic Equations on Time Scales. An Introduction with Applications.

Bohner, Martin and Allan C. Peterson:

ISBN 10: 3764342250 / ISBN 13: 9783764342258

Published by Boston, Birkhäuser, 2001

About this Item

X, 358 Seiten. Ehemaliges Bibliotheksexemplar, gestempelt und mit Rückensignatur. Einband berieben und bestoßen. Ansonsten gut erhalten. 9783764342258 Sprache: Englisch Gewicht in Gramm: 2024.

Seller Inventory # 104900

Bibliographic Details

• Title: Dynamic Equations on Time Scales. An Introduction with Applications.
• Publisher: Boston, Birkhäuser
• Publication Date: 2001
• Language: English
• ISBN 10: 3764342250
• ISBN 13: 9783764342258
• Binding: Hardcover/Pappeinband
• Condition: Gut
• Weight: 2024 grams
• Seller catalogs:
  • Mathematik, Physik, Astronomie

About this title

Synopsis

On becoming familiar with difference equations and their close re­ lation to differential equations, I was in hopes that the theory of difference equations could be brought completely abreast with that for ordinary differential equations. [HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both. [E. T. BELL, Men of Mathematics, Simon and Schuster, New York (page 13/14), 1937] The theory of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his PhD thesis [159] in 1988 (supervised by Bernd Aulbach) in order to unify continuous and discrete analysis. This book is an intro­ duction to the study of dynamic equations on time scales. Many results concerning differential equations carryover quite easily to corresponding results for difference equations, while other results seem to be completely different in nature from their continuous counterparts. The study of dynamic equations on time scales reveals such discrepancies, and helps avoid proving results twice, once for differential equa­ tions and once for difference equations. The general idea is to prove a result for a dynamic equation where the domain of the unknown function is a so-called time scale, which is an arbitrary nonempty closed subset of the reals.