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MARC 21

Advances in Dynamic Equations on Time Scales
Tag	Description
020	$a9780817682309$9978-0-8176-8230-9
082	$a518$223
099	$aOnline resource: Springer
245	$aAdvances in Dynamic Equations on Time Scales$h[EBook] /$cedited by Martin Bohner, Allan Peterson.
260	$aBoston, MA :$bBirkhäuser Boston :$bImprint: Birkhäuser,$c2003.
300	$aXI, 348 p.$bonline resource.
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
505	$a1. Introduction to the Time Scales Calculus -- 2. Some Dynamic Equations -- 3. Nabla Dynamic Equations -- 4. Second Order Self-Adjoint Equations with Mixed Derivatives -- 5. Riemann and Lebesgue Integration -- 6. Lower and Upper Solutions of Boundary Value Problems -- 7. Positive Solutions of Boundary Value Problems -- 8. Disconjugacy and Higher Order Dynamic Equations -- 9. Boundary Value Problems on Infinite Intervals -- 10. Symplectic Dynamic Systems.
520	$aThe 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700	$aBohner, Martin.$eeditor.
700	$aPeterson, Allan.$eeditor.
710	$aSpringerLink (Online service)
856	$uhttp://dx.doi.org/10.1007/978-0-8176-8230-9