Dynamics with Inequalities

Dynamics with Inequalities

Author: David E. Stewart

Publisher: SIAM

Published: 2011-08-04

Total Pages: 393

ISBN-13: 1611970709

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The first book that comprehensively addresses dynamics with inequalities.


Solution of Variational Inequalities in Mechanics

Solution of Variational Inequalities in Mechanics

Author: Ivan Hlavacek

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 285

ISBN-13: 1461210488

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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).


Stability Theory for Dynamic Equations on Time Scales

Stability Theory for Dynamic Equations on Time Scales

Author: Anatoly A. Martynyuk

Publisher: Birkhäuser

Published: 2016-09-22

Total Pages: 233

ISBN-13: 3319422138

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This monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. The first approach is based on the application of dynamic integral inequalities and the fundamental matrix of solutions of linear approximation of dynamic equations. The second is based on the generalization of the direct Lyapunovs method for equations on time scales, using scalar, vector and matrix-valued auxiliary functions. The third approach is the application of auxiliary functions (scalar, vector, or matrix-valued ones) in combination with differential dynamic inequalities. This is an alternative comparison method, developed for time continuous and time discrete systems.In recent decades, automatic control theory in the study of air- and spacecraft dynamics and in other areas of modern applied mathematics has encountered problems in the analysis of the behavior of solutions of time continuous-discrete linear and/or nonlinear equations of perturbed motion. In the book “Men of Mathematics,” 1937, E.T.Bell wrote: “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.”Mathematical analysis on time scales accomplishes exactly this. This research has potential applications in such areas as theoretical and applied mechanics, neurodynamics, mathematical biology and finance among others.


The Dynamics of Language and Inequality in Education

The Dynamics of Language and Inequality in Education

Author: Joel Austin Windle

Publisher: Multilingual Matters

Published: 2020-02-13

Total Pages: 185

ISBN-13: 1788926951

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This book contributes new perspectives from the Global South on the ways in which linguistic and discursive boundaries shape inequalities in educational contexts, ranging from Amazonian missions to Mongolian universities. Through critical ethnographic and sociolinguistic analysis, the chapters explore how such boundaries contribute to the geopolitics of colonialism, capitalism and myriad, interwoven, forms of social life that structure both oppression and resistance. Boundaries are examined across time and space as relational constructs that mark the terms upon which admission to groups, institutions, territories, or practices are granted. The studies further present alternative educational approaches that demonstrate the potential for agency and transgression, highlighting moments of boundary crossing that disrupt existing linguistic ideologies, language policies and curriculum structures.


Dynamics with Inequalities

Dynamics with Inequalities

Author: David E. Stewart

Publisher: SIAM

Published: 2011-01-01

Total Pages: 400

ISBN-13: 9781611970715

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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.


Relational Inequalities

Relational Inequalities

Author: Donald Tomaskovic-Devey

Publisher:

Published: 2019

Total Pages: 305

ISBN-13: 0190624426

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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.


Inequality in the Developing World

Inequality in the Developing World

Author: Carlos Gradín

Publisher: Oxford University Press

Published: 2021

Total Pages: 373

ISBN-13: 0198863969

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Inequality has emerged as a key development challenge. It holds implications for economic growth and redistribution and translates into power asymmetries that can endanger human rights, create conflict, and embed social exclusion and chronic poverty. For these reasons, it underpins intense public and academic debates and has become a dominant policy concern within many countries and in all multilateral agencies. It is at the core of the 17 goals of the UN 2030 Agenda for Sustainable Development. This book contributes to this important discussion by presenting assessments of the measurement and analysis of global inequality by leading inequality scholars, aligning these to comprehensive reviews of inequality trends in five of the world's largest developing countries - Brazil, China, India, Mexico, and South Africa.


Effective Dynamics of Stochastic Partial Differential Equations

Effective Dynamics of Stochastic Partial Differential Equations

Author: Jinqiao Duan

Publisher: Elsevier

Published: 2014-03-06

Total Pages: 283

ISBN-13: 0128012692

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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


Persistent Inequalities

Persistent Inequalities

Author: Howard Botwinick

Publisher: BRILL

Published: 2017-11-20

Total Pages: 386

ISBN-13: 9004269592

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Economists generally assume that wage differentials among similar workers will only endure when competition in the capital and/or labor market is restricted. In contrast, Howard Botwinick uses a classical Marxist analysis of real capitalist competition to show that substantial patterns of wage disparity can persist despite high levels of competition. Indeed, the author provocatively argues that competition and technical change often militate against wage equalization. In addition to providing the basis for a more unified analysis of race and gender inequality within labor markets, Botwinick’s work has important implications for contemporary union strategies. Going against mainstream proponents of labor-management cooperation, the author calls for militant union organization that can once again take wages and working conditions out of capitalist competition. This revised edition was originally published under the same title in 1993 by Princeton University Press.