Inclusions
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Introduction To The Theory Of Differential Inclusions
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Author : Georgi V. Smirnov
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Introduction To The Theory Of Differential Inclusions written by Georgi V. Smirnov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Differential inclusions play an important role as a tool in the study of various dynamical processes described by equations with a discontinuous or multivalued right-hand side. This text acts as an introduction to the subject.
Impulsive Differential Inclusions
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Author : John R. Graef
language : en
Publisher: Walter de Gruyter
Release Date : 2013-07-31
Impulsive Differential Inclusions written by John R. Graef and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-31 with Mathematics categories.
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.
Photoatlas Of Inclusions In Gemstones
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Author : Eduard Josef Gübelin
language : en
Publisher: Gemological Institute of America
Release Date : 1986
Photoatlas Of Inclusions In Gemstones written by Eduard Josef Gübelin and has been published by Gemological Institute of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Design categories.
Differential Inclusions
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Author : J.-P. Aubin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Differential Inclusions written by J.-P. Aubin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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
Inclusions And Exclusions In European Societies
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Author : Martin Kohli
language : en
Publisher: Routledge
Release Date : 2004-01-14
Inclusions And Exclusions In European Societies written by Martin Kohli and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-14 with Social Science categories.
European social development over the last century has been characterized by an increasing inclusiveness of people into the ever-larger collectives of the nation state, the European Union and categories of welfare entitlement. Yet recent empirical data suggests that income gaps are growing and that within the physical borders of Europe there is a greater cultural and ethnic heterogeneity than ever before. Effectively, many of the processes of inclusion are accompanied by exclusion and the creation of new borders, identities and rights. Inclusions and Exclusions in European Societies features eminent contributors from across Europe addressing the problems of inclusion and exclusion as they affect European societies today. Amongst the topics addressed are: to what extent classical theory provides useful ways of reframing European societies which inequalities in work and welfare persist today and in what ways they have been transformed in processes of European integration how considerations of new identities and the pressure of globalisation affect the forms of inclusion and exclusion in Europe. This book constitutes a unique stock-taking of many of the central issues in European social integration or disintegration today.
Condensing Multivalued Maps And Semilinear Differential Inclusions In Banach Spaces
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Author : Mikhail Kamenskii
language : en
Publisher: Walter de Gruyter
Release Date : 2001
Condensing Multivalued Maps And Semilinear Differential Inclusions In Banach Spaces written by Mikhail Kamenskii and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
The theory of set-valued maps and of differential inclusion is developed in recent years both as a field of his own and as an approach to control theory. The book deals with the theory of semilinear differential inclusions in infinite dimensional spaces. In this setting, problems of interest to applications do not suppose neither convexity of the map or compactness of the multi-operators. These assumption implies the development of the theory of measure of noncompactness and the construction of a degree theory for condensing mapping. Of particular interest is the approach to the case when the linear part is a generator of a condensing, strongly continuous semigroup. In this context, the existence of solutions for the Cauchy and periodic problems are proved as well as the topological properties of the solution sets. Examples of applications to the control of transmission line and to hybrid systems are presented.
Non Metallic Inclusions In Steel
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Author : Roland Kiessling
language : en
Publisher:
Release Date : 1965
Non Metallic Inclusions In Steel written by Roland Kiessling and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Oxides categories.
Nonlinear Inclusions And Hemivariational Inequalities
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Author : Stanisław Migórski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-18
Nonlinear Inclusions And Hemivariational Inequalities written by Stanisław Migórski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-18 with Mathematics categories.
This book introduces the reader the theory of nonlinear inclusions and hemivariational inequalities with emphasis on the study of contact mechanics. The work covers both abstract results in the area of nonlinear inclusions, hemivariational inequalities as well as the study of specific contact problems, including their modelling and their variational analysis. Provided results are based on original research on the existence, uniqueness, regularity and behavior of the solution for various classes of nonlinear stationary and evolutionary inclusions. In carrying out the variational analysis of various contact models, one systematically uses results of hemivariational inequalities and, in this way, illustrates the applications of nonlinear analysis in contact mechanics. New mathematical methods are introduced and applied in the study of nonlinear problems, which describe the contact between a deformable body and a foundation. Contact problems arise in industry, engineering and geophysics. Their variational analysis presented in this book lies the background for their numerical analysis. This volume will interest mathematicians, applied mathematicians, engineers, and scientists as well as advanced graduate students.
Cytopathology Of Inclusions Caused By Six Strains Of Tobacco Mosaic Virus In Leaf Cells Of Resistant And Susceptible Lycopersicon Esculentum Mill
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Author : Arthur Silsby Allen
language : en
Publisher:
Release Date : 1968
Cytopathology Of Inclusions Caused By Six Strains Of Tobacco Mosaic Virus In Leaf Cells Of Resistant And Susceptible Lycopersicon Esculentum Mill written by Arthur Silsby Allen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Pathology, Cellular categories.
Inclusion Developing An Effective Whole School Approach
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Author : Ekins, Alison
language : en
Publisher: McGraw-Hill Education (UK)
Release Date : 2009-09-01
Inclusion Developing An Effective Whole School Approach written by Ekins, Alison and has been published by McGraw-Hill Education (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-01 with Education categories.
This book examines and offers solutions to the challenges faced by schools in ensuring that all students are enjoying, participating and achieving in education.