An edition of Dynamic Systems on Measure Chains (2010)

Dynamic Systems on Measure Chains

Dynamic Systems on Measure Chains
V. Lakshmikantham, S. Sivasund ...
Not in Library

My Reading Lists:

Create a new list

Check-In

×Close
Add an optional check-in date. Check-in dates are used to track yearly reading goals.
Today


Buy this book

Last edited by MARC Bot
September 28, 2024 | History
An edition of Dynamic Systems on Measure Chains (2010)

Dynamic Systems on Measure Chains

From a modelling point of view, it is more realistic to model a phenomenon by a dynamic system which incorporates both continuous and discrete times, namely, time as an arbitrary closed set of reals called time-scale or measure chain. It is therefore natural to ask whether it is possible to provide a framework which permits us to handle both dynamic systems simultaneously so that one can get some insight and a better understanding of the subtle differences of these two different systems. The answer is affirmative, and recently developed theory of dynamic systems on time scales offers the desired unified approach. In this monograph, we present the current state of development of the theory of dynamic systems on time scales from a qualitative point of view. It consists of four chapters. Chapter one develops systematically the necessary calculus of functions on time scales.

In chapter two, we introduce dynamic systems on time scales and prove the basic properties of solutions of such dynamic systems. The theory of Lyapunov stability is discussed in chapter three in an appropriate setup. Chapter four is devoted to describing several different areas of investigations of dynamic systems on time scales which will provide an exciting prospect and impetus for further advances in this important area which is very new. Some important features of the monograph are as follows: It is the first book that is dedicated to a systematic development of the theory of dynamic systems on time scales which is of recent origin. It demonstrates the interplay of the two different theories, namely, the theory of continuous and discrete dynamic systems, when imbedded in one unified framework.

It provides an impetus to investigate in the setup of time scales other important problems which might offer a better understanding of the intricacies of a unified study.£/LIST£ Audience: The readership of this book consists of applied mathematicians, engineering scientists, research workers in dynamic systems, chaotic theory and neural nets.

Publish Date
Publisher
Springer
Language
English
Pages
294

Buy this book

Edition Availability
Cover of: Dynamic Systems on Measure Chains
Dynamic Systems on Measure Chains
2013, Springer
in English
Cover of: Dynamic Systems on Measure Chains
Dynamic Systems on Measure Chains
2010, Springer
in English

Add another edition?

Book Details


Classifications

Library of Congress
QA372

The Physical Object

Number of pages
294
Weight
0.468

ID Numbers

Open Library
OL34371093M
ISBN 13
9781441947604

Community Reviews (0)

Feedback?
No community reviews have been submitted for this work.

Lists

This work does not appear on any lists.

History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
September 28, 2024 Edited by MARC Bot import existing book
October 2, 2021 Created by ImportBot Imported from Better World Books record