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＜電子ブック＞
Advances in Dynamic Equations on Time Scales / edited by Martin Bohner, Allan C. Peterson

版	1st ed. 2003.
出版者	(Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser)
出版年	2003
本文言語	英語
大きさ	XI, 348 p : online resource
著者標目	Bohner, Martin editor Peterson, Allan C editor SpringerLink (Online service)
件　名	LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Differential equations LCSH:Mathematics LCSH:System theory LCSH:Control theory FREE:Computational Mathematics and Numerical Analysis FREE:Differential Equations FREE:Applications of Mathematics FREE:Systems Theory, Control
一般注記	1. 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 The 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 HTTP:URL=https://doi.org/10.1007/978-0-8176-8230-9

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