Impulsive differential inclusions : a fixed point approach /

Impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biotechnology, industrial robotics, pharmacokinetics, optimal control, etc. The questions of existence and stability of solutions for different classes of initial values prob...

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Bibliographic Details
Main Authors: Graef, John R.
Corporate Authors: De Gruyter.
Group Author: Henderson, Johnny.; Ouahab, Abdelghani.
Published: De Gruyter,
Publisher Address: Berlin/Boston :
Publication Dates: [2013]
Literature type: eBook
Language: English
Series: De gruyter series in nonlinear analysis and applications; 20
Subjects:
Online Access: http://dx.doi.org/10.1515/9783110295313
http://www.degruyter.com/doc/cover/9783110295313.jpg
Summary: Impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biotechnology, industrial robotics, pharmacokinetics, optimal control, etc. The questions of existence and stability of solutions for different classes of initial values problems for impulsive differential equations and inclusions with fixed and variable moments are considered in detail. Attention is also given to boundary value problems and relative questions concerning differential equations. This monograph addresses a variety of side issues that arise from its simpler beginnings as well.
Carrier Form: 1 online resource(x,400pages) : illustrations.
Also available in print edition.
ISBN: 9783110295313(electronic bk.)
Index Number: QA274
CLC: O175
Contents: Frontmatter --
Contents --
Notations --
Chapter 1. Introduction and Motivations --
Chapter 2. Preliminaries --
Chapter 3. FDEs with Infinite Delay --
Chapter 4. Boundary Value Problems on Infinite Intervals --
Chapter 5. Differential Inclusions --
Chapter 6. Differential Inclusions with Infinite Delay --
Chapter 7. Impulsive FDEs with Variable Times --
Chapter 8. Neutral Differential Inclusions --
Chapter 9. Topology and Geometry of Solution Sets --
Chapter 10. Impulsive Semilinear Differential Inclusions --
Chapter 11. Selected Topics --
Appendix --
Bibliography --
Index.