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Non-instantaneous impulsive differential equations : basic theory and computation

Author: JinRong Wang, (Mathematics professor); Michael Fečkan; Institute of Physics (Great Britain),
Publisher: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2018]
Series: IOP expanding physics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Many real-life processes can be characterised by rapid changes in their state. Some of these changes begin impulsively and are not negligible. For changes such as these, mathematical models called non-instantaneous differential equations are created. These models give rise to a new, hybrid dynamical system that can be used for many different purposes. Using a variety of equations, examples and solutions, this book  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: JinRong Wang, (Mathematics professor); Michael Fečkan; Institute of Physics (Great Britain),
ISBN: 9780750317047 0750317043 9780750317030 0750317035 0750317027 9780750317023
OCLC Number: 1080122327
Notes: "Version: 20181101"--Title page verso.
Target Audience: This book is useful for researchers and graduate students studying evolution equations and other nonlinear problems with non-instantaneous impulsive effects as well as for research, seminars, and advanced graduate courses, in pure and applied mathematics, physics, mechanics, engineering, biology, and related disciplines.
Description: 1 online resource : illustrations (some color).
Contents: 1. Linear and perturbed equations --
1.1. Stability analysis --
1.2. Lyapunov regularity 2. Nonlinear differential equations --
2.1. Continuous dependence and stability of solutions --
2.2. Orbital Hausdorff dependence of the solutions --
2.3. Differentiability of solutions 3. Semilinear evolution equations --
3.1. First-order evolution equations --
3.2. Second-order evolution equations 4. Periodic solutions --
4.1. First-order autonomous evolution equations --
4.2. First-order non-autonomous evolution equations --
4.3. Second-order evolution equations.
Series Title: IOP expanding physics.
Responsibility: JinRong Wang, Michal Fečkan.

Abstract:

Many real-life processes can be characterised by rapid changes in their state. Some of these changes begin impulsively and are not negligible. For changes such as these, mathematical models called non-instantaneous differential equations are created. These models give rise to a new, hybrid dynamical system that can be used for many different purposes. Using a variety of equations, examples and solutions, this book will be an essential guide for researchers, graduate students and those interested in applied mathematics and related fields.

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