Dynamic Equations on Time Scales

Name: Dynamic Equations on Time Scales
Brand: Birkhäuser
SKU: 9780817642259
Price: 303.24 RON
Availability: InStock

An Introduction with Applications

Autor: Martin Bohner, Allan Peterson

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Legare: Copertă tare

Editura: Birkhäuser

Disponibilitate: În depozitul extern

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The study of dynamic equations on a measure chain (time scale) §goes back to its founder S. Hilger (...

Informații despre carte

Autor

Martin Bohner, Allan Peterson

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2009

Pagini

358

EAN

9780817642259

ISBN

0817642250

Enbook ID

01399307

Editura

Birkhäuser

Greutate

925

Dimensiuni

178 x 254 x 26

Descriere completă

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. Further, the §study of measure chain theory has led to several important §applications, e.g., in the study of insect population models, neural §networks, heat transfer, and epidemic models. § Key features of the book: Introduction to measure chain theory; §discussion of its usefulness in allowing for the simultaneous §development of differential equations and difference equations without §having to repeat analogous proofs Many classical formulas or §procedures for differential and difference equations cast in a new §light New analogues of many of the "special functions" studied §Examination of the properties of the "exponential function" on time §scales, which can be defined and investigated using a particularly §simple linear equation Additional topics covered: self-adjoint §equations, linear systems, higher order equations, dynamic §inequalities, and symplectic dynamic systems Clear, motivated §exposition, beginning with preliminaries and progressing to more §sophisticated text Ample examples and exercises throughout the book § Solutions to selected problems § Requiring only a first semester of calculus and linear algebra, §Dynamic Equations on Time Scales may be considered as an interesting §approach to differential equations via exposure to continuous and §discrete analysis. This approach provides an early encounter with many §applications in such areas as biology, physics, and engineering. Parts §of the book may be used in a special topics seminar at the senior §undergraduate or beginning graduate levels. Finally, the work may

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Dynamic Equations on Time Scales

An Introduction with Applications

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