Impulsive Differential Inclusions: A Fixed Point Approach, John R. Graef, Johnny Henderson, Abdelghani Ouahab

Автор: Kisielewicz Michal
Название: Stochastic Differential Inclusions and Applications
ISBN: 1461467551 ISBN-13(EAN): 9781461467557
Издательство: Springer
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Описание: This book develops the theory of stochastic functional inclusions and applications for describing solutions of initial and boundary value problems for partial differential inclusions. Uses new, original methods to characterize stochastic functional inclusions.

Автор: Djebali Sma L., G. Rniewicz Lech, Ouahab Abdelghan
Название: Solution Sets for Differential Equations and Inclusions
ISBN: 3110293447 ISBN-13(EAN): 9783110293449
Издательство: Walter de Gruyter
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Цена: 173490.00 T
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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.

Автор: Smail Djebali, Lech Gorniewicz, Abdelghani Ouahab
Название: Solution Sets for Differential Equations and Inclusions
ISBN: 3110293579 ISBN-13(EAN): 9783110293579
Издательство: Walter de Gruyter
Цена: 223090.00 T
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Описание: This monograph gives a systematic presentation of classical and recent results obtained in the last couple of years. It comprehensively describes the methods concerning the topological structure of fixed point sets and solution sets for differential equations and inclusions. Many of the basic techniques and results recently developed about this theory are presented, as well as the literature that is disseminated and scattered in several papers of pioneering researchers who developed the functional analytic framework of this field over the past few decades. Several examples of applications relating to initial and boundary value problems are discussed in detail. The book is intended to advanced graduate researchers and instructors active in research areas with interests in topological properties of fixed point mappings and applications; it also aims to provide students with the necessary understanding of the subject with no deep background material needed. This monograph fills the vacuum in the literature regarding the topological structure of fixed point sets and its applications.

Автор: Alexander Tolstonogov
Название: Differential Inclusions in a Banach Space
ISBN: 0792366182 ISBN-13(EAN): 9780792366188
Издательство: Springer
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Цена: 102480.00 T
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Описание: This monograph is devoted to the development of a unified approach for studying differential inclusions in a Banach space with non-convex right-hand side - a new branch of the classical theory of ordinary differential equations.

Автор: Bashir Ahmad; Ahmed Alsaedi; Sotiris K. Ntouyas; J
Название: Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
ISBN: 3319521403 ISBN-13(EAN): 9783319521404
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving the Hadamard derivative and integral.

Автор: Gert Sabidussi; Andrzej Granas; Marl?ne Frigon
Название: Topological Methods in Differential Equations and Inclusions
ISBN: 9401041504 ISBN-13(EAN): 9789401041508
Издательство: Springer
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Цена: 279500.00 T
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Описание: The papers collected in this volume are contributions to the 33rd session of the Seminaire de Mathematiques Superieures (SMS) on "Topological Methods in Differential Equations and Inclusions". This session of the SMS took place at the Universite de Montreal in July 1994 and was a NATO Advanced Study Institute (ASI). The aim of the ASI was to bring together a considerable group of young researchers from various parts of the world and to present to them coherent surveys of some of the most recent advances in this area of Nonlinear Analysis. During the meeting 89 mathematicians from 20 countries have had the opportunity to get acquainted with various aspects of the subjects treated in the lectures as well as the chance to exchange ideas and learn about new problems arising in the field. The main topics teated in this ASI were the following: Fixed point theory for single- and multi-valued mappings including topological degree and its generalizations, and topological transversality theory; existence and multiplicity results for ordinary differential equations and inclusions; bifurcation and stability problems; ordinary differential equations in Banach spaces; second order differential equations on manifolds; the topological structure of the solution set of differential inclusions; effects of delay perturbations on dynamics of retarded delay differential equations; dynamics of reaction diffusion equations; non smooth critical point theory and applications to boundary value problems for quasilinear elliptic equations.

Автор: J.-P. Aubin; A. Cellina
Название: Differential Inclusions
ISBN: 3642695140 ISBN-13(EAN): 9783642695148
Издательство: Springer
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Цена: 83850.00 T
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Описание: A great impetus to study differential inclusions came from the development of Control Theory, i.e. of dynamical systems x'(t) = f(t, x(t), u(t)), x(O)=xo "controlled" by parameters u(t) (the "controls"). Indeed, if we introduce the set-valued map F(t, x)= {f(t, x, u)}ueu then solutions to the differential equations (*) are solutions to the "differen- tial inclusion" (**) x'(t)EF(t, x(t)), x(O)=xo in which the controls do not appear explicitely. Systems Theory provides dynamical systems of the form d x'(t)=A(x(t)) dt (B(x(t))] C(x(t)); x(O)=xo in which the velocity of the state of the system depends not only upon the x(t) of the system at time t, but also on variations of observations state B(x(t)) of the state. This is a particular case of an implicit differential equation f(t, x(t), x'(t)) = 0 which can be regarded as a differential inclusion (**), where the right-hand side F is defined by F(t, x)= {vlf(t, x, v)=O}. During the 60's and 70's, a special class of differential inclusions was thoroughly investigated: those of the form X'(t)E - A(x(t)), x (0) =xo where A is a "maximal monotone" map. This class of inclusions contains the class of "gradient inclusions" which generalize the usual gradient equations x'(t) = -VV(x(t)), x(O)=xo when V is a differentiable "potential." 2 Introduction There are many instances when potential functions are not differentiable.

Автор: Alexander Tolstonogov
Название: Differential Inclusions in a Banach Space
ISBN: 9048155800 ISBN-13(EAN): 9789048155804
Издательство: Springer
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Цена: 93160.00 T
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Автор: Camporesi
Название: An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization
ISBN: 3319496662 ISBN-13(EAN): 9783319496665
Издательство: Springer
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Цена: 71730.00 T
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Описание: This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform, linear systems, the general theory of linear equations with variable coefficients and variation of parameters. The case of variable coefficients is addressed using Mammana’s result for the factorization of a real linear ordinary differential operator into a product of first-order (complex) factors, as well as a recent generalization of this result to the case of complex-valued coefficients.

Автор: Monteiro Marques
Название: Differential Inclusions in Nonsmooth Mechanical Problems
ISBN: 3034876165 ISBN-13(EAN): 9783034876162
Издательство: Springer
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Цена: 65210.00 T
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Автор: Michal Kisielewicz
Название: Differential Inclusions and Optimal Control
ISBN: 0792306759 ISBN-13(EAN): 9780792306757
Издательство: Springer
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Цена: 88500.00 T
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Автор: Michal Feckan, JinRong Wang, Michal Pospisil
Название: Fractional-Order Equations and Inclusions
ISBN: 3110521385 ISBN-13(EAN): 9783110521382
Издательство: Walter de Gruyter
Цена: 148700.00 T
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This book presents fractional difference, integral, differential, evolution equations and inclusions, and discusses existence and asymptotic behavior of their solutions. Controllability and relaxed control results are obtained. Combining rigorous deduction with abundant examples, it is of interest to nonlinear science researchers using fractional equations as a tool, and physicists, mechanics researchers and engineers studying relevant topics.