Working with mathematical models today requires in-depth knowledge of recent methods developed for solving nonlinear differential equations. Keeping abreast of these developments is the goal of the regular meetings of nonlinear analysts held in the Czech Republic, the most recent of which formed the basis of this volume. The subject addressed by these authors is the theory of nonlinear differential equations, with focus on the quasilinear elliptic differential equations of the degenerate type.
How does a society emerge from Stalinism? This is the question of the day in Eastern Europe. In this final volume of his trilogy on Stalinism, Campeanu examines the main pillars of the Stalinist system - the vacuum of ownership and the regulation of all social and economic activity by a central power endowed with infallibility. Only if both of these conditions are eliminated, Campeanu argues, can Stalinism finally be overcome. Attempts only to reform, to modify, to ameliorate, to eliminate "excesses" will ensure that society stays in a perpetual dead-end. How does perestroika measure up against this standard? What are the stakes in Moscow, in Beijing? It is to be able to answer questions such as these that Campeanu undertook this work.
This textbook is an elementary introduction to the basic principles of partial differential equations. With many illustrations it introduces PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs, and to acquire some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite. The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics.
Micromechanisms of Fracture and Fatigue forms the culmination of 20 years of research in the field of fatigue and fracture. It discusses a range of topics and comments on the state of the art for each. The first part is devoted to models of deformation and fracture of perfect crystals. Using various atomistic methods, the theoretical strength of solids under simple and complex loading is calculated for a wide range of elements and compounds, and compared with experimental data. The connection between the onset of local plasticity in nanoindentation tests and the ideal shear strength is analysed using a multi-scale approach. Moreover, the nature of intrinsic brittleness or ductility of perfect crystal lattices is demonstrated by the coupling of atomistic and mesoscopic approaches, and compared with brittle/ductile behaviour of engineering materials. The second part addresses extrinsic sources of fracture toughness of engineering materials, related to their microstructure and microstructurally-induced crack tortuosity. Micromechanisms of ductile fracture are also described, in relation to the fracture strain of materials. Results of multilevel modelling, including statistical aspects of microstructure, are used to explain remarkable phenomena discovered in experiments. In the third part of the book, basic micromechanisms of fatigue cracks propagation under uniaxial and multiaxial loading are discussed on the basis of the unified mesoscopic model of crack tip shielding and closure, taking both microstructure and statistical effects into account. Applications to failure analysis are also outlined, and an attempt is made to distinguish intrinsic and extrinsic sources of materials resistance to fracture. Micromechanisms of Fracture and Fatigue provides scientists, researchers and postgraduate students with not only a deep insight into basic micromechanisms of fracture behaviour of materials, but also a number of engineering applications.
The book presents a systematic and compact treatment of the qualitative theory of half-lineardifferential equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing theory of half-linear differential equations in a unified form. The main topics covered by the book are oscillation and asymptotic theory and the theory of boundary value problems associated with half-linear equations, but the book also contains a treatment of related topics like PDE's with p-Laplacian, half-linear difference equations and various more general nonlinear differential equations.- The first complete treatment of the qualitative theory of half-linear differential equations.- Comparison of linear and half-linear theory.- Systematic approach to half-linear oscillation and asymptotic theory.- Comprehensive bibliography and index.- Useful as a reference book in the topic.
This volume provides a comprehensive overview of Czech politics, past and present. The authors not only cover the main political developments of the past two centuries, they also situate the current political system in the context of communist and pre-communist legacies. They argue that amidst the dramatic changes of the Velvet Revolution, one can find a plethora of continuities in culture and institutions that help to explain the shape of Czech politics today.
In the rapidly developing area of nonlinear theory of differential equations, many important results have been obtained by the use of nonlinear functional analysis based on topological and variational methods. The survey papers presented in this volume represent the current state of the art in the subject. The methods outlined in this book can be used to obtain new results concerning the existence, uniqueness, multiplicity, and bifurcation of the solutions of nonlinear boundary value problems for ordinary and partial differential equations. The contributions to this volume are from well known mathematicians, and every paper contained in this book can serve both as a source of reference for researchers working in differential equations and as a starting point for those wishing to pursue research in this direction. With research reports in the field typically scattered in many papers within various journals, this book provides the reader with recent results in an accessible form.
In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently. In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question. The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists
This is a comprehensive rehabilitation textbook emphasizing functional approach based on the aspects of the Prague School of Rehabilitation (www.rehabps.com), which was developed by Professors Vojta, Janda, Lewit and others. The publication is divided into general and special sections. The diagnostic section describes in detail clinical evaluation approaches for the musculoskeletal system, testing and assessment of a motor and sensory involvement and limitations in the activities of daily living. The text also includes psychological assessment in rehabilitation of painful conditions, functional laboratory assessments and functional assessment using imaging methods. In the general section of the therapeutic approaches, the authors focus on treatment rehabilitaton of the motor system and also focus on disorders of other organ systems. The special section of the book includes rehabilitation of individual clinical specialties, in which treatment rehabilitation plays an important part. The individual chapters include rehabilitation in neurology, orthopedics, internal diseases, gynecology, oncology, psychiatry, pain and psychosomatic conditions. This book is unique in its presentation of human development and the options for its implementation into diagnostic and therapeutic approaches of the movement system. A chapter is also devoted to the original diagnostic-therapeutic approach of Dynamic Neuromuscular Stabilization according to Professor Pavel Kolar, the main editor of the book. - full-color resource - exceptional photographs of developmental sequences, radiographic images, diagrams and schematic drawings specific to the Prague School of Rehabilitation and Dynamic Neuromuscular Stabilization - 800 text pages - photographs of pediatric ontogenetic development
Working with mathematical models today requires in-depth knowledge of recent methods developed for solving nonlinear differential equations. Keeping abreast of these developments is the goal of the regular meetings of nonlinear analysts held in the Czech Republic, the most recent of which formed the basis of this volume. The subject addressed by these authors is the theory of nonlinear differential equations, with focus on the quasilinear elliptic differential equations of the degenerate type. Their topics include:
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