Download or read book Dynamics with Inequalities written by David E. Stewart and published by SIAM. This book was released on 2011-01-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses dynamics with inequalities comprehensively. The author develops the theory and application of dynamical systems that incorporate some kind of hard inequality constraint, such as mechanical systems with impact; electrical circuits with diodes (as diodes permit current flow in only one direction); and social and economic systems that involve natural or imposed limits (such as traffic flow, which can never be negative, or inventory, which must be stored within a given facility). This book demonstrates that hard limits - eschewed in most dynamical models - are natural models for many dynamic phenomena, and there are ways of creating differential equations with hard constraints that provide accurate models of many physical, biological, and economic systems. The author discusses how finite- and infinite-dimensional problems are treated in a unified way so the theory is applicable to both ordinary differential equations and partial differential equations.
Download or read book Solution of Variational Inequalities in Mechanics written by Ivan Hlavacek and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea for this book was developed in the seminar on problems of con tinuum mechanics, which has been active for more than twelve years at the Faculty of Mathematics and Physics, Charles University, Prague. This seminar has been pursuing recent directions in the development of mathe matical applications in physics; especially in continuum mechanics, and in technology. It has regularly been attended by upper division and graduate students, faculty, and scientists and researchers from various institutions from Prague and elsewhere. These seminar participants decided to publish in a self-contained monograph the results of their individual and collective efforts in developing applications for the theory of variational inequalities, which is currently a rapidly growing branch of modern analysis. The theory of variational inequalities is a relatively young mathematical discipline. Apparently, one of the main bases for its development was the paper by G. Fichera (1964) on the solution of the Signorini problem in the theory of elasticity. Later, J. L. Lions and G. Stampacchia (1967) laid the foundations of the theory itself. Time-dependent inequalities have primarily been treated in works of J. L. Lions and H. Bnlzis. The diverse applications of the variational in equalities theory are the topics of the well-known monograph by G. Du vaut and J. L. Lions, Les iniquations en micanique et en physique (1972).
Download or read book Dynamics of Difference written by Narendar Pani and published by Taylor & Francis. This book was released on 2021-11-29 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This original conceptualization provides insights into the role of inequality in the processes of change in rural India. It presents in-depth analyses and understanding of the nature and form of inequality, and its causes and consequences. The volume examines interpersonal, intergroup, and intrapersonal inequalities in the country’s rural transformation. Through research based on ethnographic, primary survey and secondary data methods, this multidimensional study discusses key themes such as normative and descriptive inequalities; class, caste and other identities; economic poverty; educational poverty; poverty in health; gendered poverty; inequality and power; the impact of migration; ethical issues and vulnerabilities; and suicidal consequences of inequality. It builds cohesive arguments, based on the development of several new indicators, to examine rural inequality. This book will be of interest to scholars and researchers of political economy, economics, development studies, development economics, sociology, public policy, political science, political sociology, and rural sociology.
Download or read book Inequality Problems in Mechanics and Applications written by P.D. Panagiotopoulos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a remarkably short time, the field of inequality problems has seen considerable development in mathematics and theoretical mechanics. Applied mechanics and the engineering sciences have also benefitted from these developments in that open problems have been treated and entirely new classes of problems have been formulated and solved. This book is an outgrowth of seven years of seminars and courses on inequality problems in mechanics for a variety of audiences in the Technical University of Aachen, the Aristotle University of Thessaloniki, the University of Hamburg and the Technical University of Milan. The book is intended for a variety of readers, mathematicians and engineers alike, as is detailed in the Guidelines for the Reader. It goes without saying that the work of G. Fichera, J. L. Lions, G. Maier, J. J. Moreau in originating and developing the theory of inequality problems has considerably influenced the present book. I also wish to acknowledge the helpful comments received from C. Bisbos, J. Haslinger, B. Kawohl, H. Matthies, H. O. May, D. Talaslidis and B. Werner. Credit is also due to G. Kyriakopoulos and T. Mandopoulou for their exceptionally diligent work in the preparation of the fmal figures. Many thanks are also due to T. Finnegan and J. Gateley for their friendly assistance from the linguistic standpoint. I would also like to thank my editors in Birkhiiuser Verlag for their cooperation, and all those who helped in the preparation of the manuscript.
Download or read book Differentially Flat Systems written by Hebertt Sira-Ramírez and published by CRC Press. This book was released on 2018-10-03 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illustrating the power, simplicity, and generality of the concept of flatness, this reference explains how to identify, utilize, and apply flatness in system planning and design. The book includes a large assortment of exercises and models that range from elementary to complex classes of systems. Leading students and professionals through a vast array of designs, simulations, and analytical studies on the traditional uses of flatness, Differentially Flat Systems contains an extensive amount of examples that showcase the value of flatness in system design, demonstrate how flatness can be assessed in the context of perturbed systems and apply static and dynamic feedback controller design techniques.
Download or read book Dynamic Inequalities On Time Scales written by Ravi Agarwal and published by Springer. This book was released on 2014-10-30 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics. In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's inequality, Holder's inequality, Minkowski's inequality, Steffensen's inequality, Hermite-Hadamard inequality and Čebyšv's inequality. Opial type inequalities on time scales and their extensions with weighted functions, Lyapunov type inequalities, Halanay type inequalities for dynamic equations on time scales, and Wirtinger type inequalities on time scales and their extensions will also be discussed here in detail.
Download or read book Africa s Development Dynamics 2018 Growth Jobs and Inequalities written by African Union Commission and published by OECD Publishing. This book was released on 2018-07-11 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first edition explores the dynamics of growth, jobs, and inequalities. It proposes ten decisive actions to promote sustainable economic and social development and to strengthen institutions in Africa.
Download or read book The Origins and Dynamics of Inequality written by Jon D. Wisman and published by Oxford University Press. This book was released on 2022-02-22 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Argues that the struggle over income, wealth, status and privilege-inequality-has been the principal, defining issue in human history and provides a novel framework for understanding inequality today Whereas President Barack Obama declared inequality as the defining issue of our time, in The Origins and Dynamics of Inequality, Jon D. Wisman claims more: it is the defining issue of all human history. The struggle over inequality has been the underlying force driving human history's unfolding. Drawing on the dynamics of inequality, Wisman re-interprets economic history and society. Beyond according inequality the central role in history, this book is novel in two other respects: First, transcending the general failure of social scientists and historians to anchor their work in explicit theories of human behaviour, this book grounds the origins and dynamics of inequality in evolutionary psychology, or more specifically, Darwin's theory of sexual selection. Second, this book accords central importance to ideology in legitimating inequality, a role typically inadequately addressed by social scientists and historians. Because of the central role of inequality in history, inequality's explosion over the past forty years has not been an anomaly. It is a return to the political dynamics by which elites have, since the rise of the state, taken practically everything for themselves, leaving all others with little more than the means with which to survive. Due to elites' persuasive ideology, even after workers in advanced capitalist countries gained the franchise to become the overwhelming majority of voters, inequality continued to increase. Sweeping and provocative, Jon D. Wisman presents a fresh perspective on why economic inequality exists and how its dynamics have shaped human history.
Download or read book Dynamic Equations on Time Scales written by Martin Bohner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: On becoming familiar with difference equations and their close re lation to differential equations, I was in hopes that the theory of difference equations could be brought completely abreast with that for ordinary differential equations. [HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both. [E. T. BELL, Men of Mathematics, Simon and Schuster, New York (page 13/14), 1937] The theory of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his PhD thesis [159] in 1988 (supervised by Bernd Aulbach) in order to unify continuous and discrete analysis. This book is an intro duction to the study of dynamic equations on time scales. Many results concerning differential equations carryover quite easily to corresponding results for difference equations, while other results seem to be completely different in nature from their continuous counterparts. The study of dynamic equations on time scales reveals such discrepancies, and helps avoid proving results twice, once for differential equa tions and once for difference equations. The general idea is to prove a result for a dynamic equation where the domain of the unknown function is a so-called time scale, which is an arbitrary nonempty closed subset of the reals.
Download or read book Persistent Inequalities written by Howard Botwinick and published by BRILL. This book was released on 2017-11-20 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: In contrast to orthodox theory, Howard Botwinick uses a classical Marxist analysis of real capitalist competition to show that substantial patterns of wage disparity among similar workers can persist despite high levels of competition in both capital and labor markets.
Download or read book Variational Inequalities and Flow in Porous Media written by M. Chipot and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are the contents of a one semester graduate course which taught at Brown University during the academic year 1981-1982. They are mainly concerned with regularity theory for obstacle problems, and with the dam problem, which, in the rectangular case, is one of the most in teresting applications of Variational Inequalities with an obstacle. Very little background is needed to read these notes. The main re sults of functional analysis which are used here are recalled in the text. The goal of the two first chapters is to introduce the notion of Varia tional Inequality and give some applications from physical mathematics. The third chapter is concerned with a regularity theory for the obstacle problems. These problems have now invaded a large domain of applied mathematics including optimal control theory and mechanics, and a collec tion of regularity results available seems to be timely. Roughly speaking, for elliptic variational inequalities of second order we prove that the solution has as much regularity as the obstacle(s). We combine here the theory for one or two obstacles in a unified way, and one of our hopes is that the reader will enjoy the wide diversity of techniques used in this approach. The fourth chapter is concerned with the dam problem. This problem has been intensively studied during the past decade (see the books of Baiocchi-Capelo and Kinderlehrer-Stampacchia in the references). The relationship with Variational Inequalities has already been quoted above.
Download or read book THE DYNAMICS OF INEQUALITIES written by T. TOMASZEWSKI and published by . This book was released on 1981 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Inequalities written by Michael J. Cloud and published by Springer. This book was released on 2014-05-06 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics. It begins by reviewing essential facts from algebra and calculus and proceeds with a presentation of the central inequalities of applied analysis, illustrating a wide variety of practical applications. The text provides a gentle introduction to abstract spaces, such as metric, normed and inner product spaces. It also provides full coverage of the central inequalities of applied analysis, such as Young's inequality, the inequality of the means, Hölder's inequality, Minkowski's inequality, the Cauchy–Schwarz inequality, Chebyshev's inequality, Jensen's inequality and the triangle inequality. The second edition features extended coverage of applications, including continuum mechanics and interval analysis. It also includes many additional examples and exercises with hints and full solutions that may appeal to upper-level undergraduate and graduate students, as well as researchers in engineering, mathematics, physics, chemistry or any other quantitative science.
Download or read book Effective Dynamics of Stochastic Partial Differential Equations written by Jinqiao Duan and published by Elsevier. This book was released on 2014-03-06 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Effective Dynamics of Stochastic Partial Differential Equations focuses on stochastic partial differential equations with slow and fast time scales, or large and small spatial scales. The authors have developed basic techniques, such as averaging, slow manifolds, and homogenization, to extract effective dynamics from these stochastic partial differential equations. The authors’ experience both as researchers and teachers enable them to convert current research on extracting effective dynamics of stochastic partial differential equations into concise and comprehensive chapters. The book helps readers by providing an accessible introduction to probability tools in Hilbert space and basics of stochastic partial differential equations. Each chapter also includes exercises and problems to enhance comprehension. New techniques for extracting effective dynamics of infinite dimensional dynamical systems under uncertainty Accessible introduction to probability tools in Hilbert space and basics of stochastic partial differential equations Solutions or hints to all Exercises
Download or read book The Economics of Inequality written by Thomas Piketty and published by Harvard University Press. This book was released on 2015-08-03 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Succinct, accessible, and authoritative, Thomas Piketty’s The Economics of Inequality is the ideal place to start for those who want to understand the fundamental issues at the heart of one the most pressing concerns in contemporary economics and politics. This work now appears in English for the first time.
Download or read book Relational Inequalities written by Donald Tomaskovic-Devey and published by Oxford University Press, USA. This book was released on 2019-01-11 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Organizations are the dominant social invention for generating resources and distributing them. Relational Inequalities develops a general sociological and organizational analysis of inequality, exploring the processes that generate inequalities in access to respect, resources, and rewards. Framing their analysis through a relational account of social and economic life, Donald Tomaskovic-Devey and Dustin Avent-Holt explain how resources are generated and distributed both within and between organizations. They show that inequalities are produced through generic processes that occur in all social relationships: categorization and their resulting status hierarchies, organizational resource pooling, exploitation, social closure, and claims-making. Drawing on a wide range of case studies, Tomaskovic-Devey and Avent-Holt focus on the workplace as the primary organization for generating inequality and provide a series of global goals to advance both a comparative organizational research model and to challenge troubling inequalities.
Download or read book Mathematical Inequalities written by Pietro Cerone and published by CRC Press. This book was released on 2010-12-01 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on the authors' research work from the last ten years, Mathematical Inequalities: A Perspective gives readers a different viewpoint of the field. It discusses the importance of various mathematical inequalities in contemporary mathematics and how these inequalities are used in different applications, such as scientific modeling.The authors
