Free Delivery Over $100
|
|
|||
|
||||
OverviewThe development of time scales is still in its infancy, yet as inroads are made, interest is gathering steam. Of a great deal of interest are methods being intro duced for dynamic equations on time scales, which now explain some discrepancies that have been encountered when results for differential equations and their dis crete counterparts have been independently considered. The explanations of these seeming discrepancies are incidentally producing unifying results via time scales methods. The study of dynamic equations on time scales is a fairly new subject, and research in this area is rapidly growing. It has been created in order to unify continuous and discrete analysis, and it allows a simultaneous treatment of dif ferential and difference equations, extending those theories to so-called dynamic equations. An introduction to this subject is given in Dynamic Equations on Time Scales: An Introduction with Applications (MARTIN BOHNER and ALLAN PETER SON, Birkhauser, 2001 [86]). The current book is designed to supplement this introduction and to offer access to the vast literature that has already emerged in this field. It consists of ten chapters, written by an international team of 21 experts in their areas, thus providing an overview of the recent advances in the theory on time scales. We want to emphasize here that this book is not just a collection of papers by different authors. Full Product DetailsAuthor: Martin Bohner , Allan C. PetersonPublisher: Birkhauser Boston Inc Imprint: Birkhauser Boston Inc Edition: 2003 ed. Dimensions: Width: 17.80cm , Height: 2.00cm , Length: 25.40cm Weight: 2.000kg ISBN: 9780817642938ISBN 10: 0817642935 Pages: 348 Publication Date: 06 December 2002 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1. 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.ReviewsFrom the reviews: <p> 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 <p>a oeThe 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.a (MATHEMATICAL REVIEWS) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
