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Impulsive Differential Inclusions
A Fixed Point Approach, De Gruyter Series in Nonlinear Analysis and Applications 20
ISBN/EAN: 9783110293616
Umbreit-Nr.: 4623203
Sprache:
Englisch
Umfang: X, 400 S.
Format in cm: 2.7 x 24.6 x 17.6
Einband:
gebundenes Buch
Erschienen am 17.07.2013
Auflage: 1/2013
- Zusatztext
- Differential equations with impulses arise as models of many evolving processes that are subject to abrupt changes, such as shocks, harvesting, and natural disasters. These phenomena involve short-term perturbations from continuous and smooth dynamics, whose duration is negligible in comparison with the duration of an entire evolution. In models involving such perturbations, it is natural to assume these perturbations act instantaneously or in the form of impulses. As a consequence, impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biotechnology, industrial robotics, pharmacokinetics, optimal control, and so forth. There are also many different studies in biology and medicine for which impulsive differential equations provide good models. During the last 10 years, the authors have been responsible for extensive contributions to the literature on impulsive differential inclusions via fixed point methods. This book is motivated by that research as the authors endeavor to bring under one cover much of those results along with results by other researchers either affecting or affected by the authors' work. The questions of existence and stability of solutions for different classes of initial value problems for impulsive differential equations and inclusions with fixed and variable moments are considered in detail. Attention is also given to boundary value problems. In addition, since differential equations can be viewed as special cases of differential inclusions, significant attention is also given to relative questions concerning differential equations. This monograph addresses a variety of side issues that arise from its simpler beginnings as well.
- Kurztext
- The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Please submit book proposals to Jürgen Appell.
- Autorenportrait
- John R. Graef, University of Tennessee at Chattanooga, Tennessee, USA; Johnny Henderson, Baylor University, Waco, Texas, USA; Abdelghani Ouahab, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria.