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 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 Relational Inequalities written by Donald Tomaskovic-Devey and published by . This book was released on 2019 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 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: 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.
Download or read book Variational Inequalities and Flow in Porous Media written by Michel Chipot and published by . This book was released on 1984 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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 Divergence Operator and Related Inequalities written by Gabriel Acosta and published by Springer. This book was released on 2017-03-01 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Brief is mainly devoted to two classical and related results: the existence of a right inverse of the divergence operator and the so-called Korn Inequalities. It is well known that both results are fundamental tools in the analysis of some classic differential equations, particularly in those arising in fluid dynamics and elasticity. Several connections between these two topics and improved Poincaré inequalities are extensively treated. From simple key ideas the book is growing smoothly in complexity. Beginning with the study of these problems on star-shaped domains the arguments are extended first to John domains and then to Hölder α domains where the need of weighted spaces arises naturally. In this fashion, the authors succeed in presenting in an unified and concise way several classic and recent developments in the field. These features certainly makes this Brief useful for students, post-graduate students, and researchers as well.
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 Discrete Dynamics and Difference Equations written by Saber N. Elaydi and published by World Scientific. This book was released on 2010 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume holds a collection of articles based on the talks presented at ICDEA 2007 in Lisbon, Portugal. The volume encompasses current topics on stability and bifurcation, chaos, mathematical biology, iteration theory, nonautonomous systems, and stochastic dynamical systems.
Download or read book Partial Differential Equations of Mathematical Physics written by S. L. Sobolev and published by Courier Corporation. This book was released on 1964-01-01 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.
Download or read book Contact Problems in Elasticity written by N. Kikuchi and published by SIAM. This book was released on 1988-01-01 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples.
Download or read book Variational and Quasi Variational Inequalities in Mechanics written by Alexander S. Kravchuk and published by Springer Science & Business Media. This book was released on 2007-09-04 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential aim of this book is to consider a wide set of problems arising in the mathematical modeling of mechanical systems under unilateral constraints. In these investigations elastic and non-elastic deformations, friction and adhesion phenomena are taken into account. All the necessary mathematical tools are given: local boundary value problem formulations, construction of variational equations and inequalities and their transition to minimization problems, existence and uniqueness theorems, and variational transformations (Friedrichs and Young-Fenchel-Moreau) to dual and saddle-point search problems.
Download or read book Inequality in the Developing World written by Carlos Gradín and published by Oxford University Press. This book was released on 2021 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Ordinary Differential Equations and Dynamical Systems written by Gerald Teschl and published by American Mathematical Society. This book was released on 2024-01-12 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the complex domain is established and Sturm–Liouville boundary value problems, including oscillation theory, are investigated. The second part introduces the concept of a dynamical system. The Poincaré–Bendixson theorem is proved, and several examples of planar systems from classical mechanics, ecology, and electrical engineering are investigated. Moreover, attractors, Hamiltonian systems, the KAM theorem, and periodic solutions are discussed. Finally, stability is studied, including the stable manifold and the Hartman–Grobman theorem for both continuous and discrete systems. The third part introduces chaos, beginning with the basics for iterated interval maps and ending with the Smale–Birkhoff theorem and the Melnikov method for homoclinic orbits. The text contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations.
Download or read book Projected Dynamical Systems and Variational Inequalities with Applications written by Anna Nagurney and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equilibrium is a concept used in operations research and economics to understand the interplay of factors and problems arising from competitive systems in the economic world. The problems in this area are large and complex and have involved a variety of mathematical methodologies. In this monograph, the authors have widened the scope of theoretical work with a new approach, `projected dynamical systems theory', to previous work in variational inequality theory. While most classical work in this area is static, the introduction to the theory of projected dynamical systems will allow many real-life dynamic situations and problems to be handled and modeled. This monograph includes: a new theoretical approach, `projected dynamical system', which allows the researcher to model real-life situations more accurately; new mathematical methods allowing researchers to combine other theoretical approaches with the projected dynamical systems approach; a framework in which research can adequately model natural, financial and human (real life) situations in competitive equilibrium problems; the computational and numerical methods for the implementation of the methods and theory discussed in the book; stability analysis, algorithms and computational procedures are offered for each set of applications.
Download or read book The Differential Equations of Dynamics written by Arthur Constant Lunn and published by . This book was released on 1909 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
