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  • ISBN:
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    978-3764342258
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    Birkhauser
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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 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. This would be an excellent book to use in a topics course on dynamic equations on time scales at the advanced undergraduate level and/or beginning graduate level.

Book Condition: Excellent condition! Clean crisp pages! Essentially a new book. Both authors are authorities in this field of study and they have produced an excellent introduction to it.

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.

For basic facts on time scales and dynamic equations, one may consult. is the antiderivative of the rd-continuous function T ∋ s → a(s)f (x(δ(s)))+b(s). This means that h x ∈ C rd (T) ; see, p. 27.

Dynamic Equations on Time Scales. An Introduction with Applications. 1. Most parts of this book are appropriate for students who have had a rst course in both calculus and linear algebra. The study of dynamic equations on time scales reveals such discrepancies, and helps avoid proving results twice, once for dierential equa-tions and once for dierence 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 closed subset of the reals.

The study of dynamic equations on a measure chain (time scale) goes back to its founder S. Hilger (1988), and is a new area of still fairly theoretical exploration in mathematics. Motivating the subject is the notion that dynamic equations on measure chains can build bridges between continuous and discrete mathematics. The study of dynamic equations on a measure chain (time scale) goes back to its founder S.

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 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 book begins with a survey of mathematical models involving delay equations.

Bohner and A. Peterson, Dynamic Equations on Time Scalesrom: An Introduction with Applications, Birkhäuser, Boston, 2001. M. Bohner and A. Peterson, Advances in Dynamic Equations on Time Scales, Birkhäuser, Boston, 2003. D. Brigo and F. Mercurio, Discrete time vs continuous time stock-price dynamics and implications for option pricing, Finance and Stochastics 4 (2000), 147–159. Zentralblatt MATH: 0956. 60034 Digital Object Identifier: doi:10. Y. Li and C. Wang, Almost Periodic Functions on Time Scales and Applications, Discrete Dynamics in Nature and Society, (2011), 20 pp. Zentralblatt MATH: 1232.