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Developing an approach to the question of existence, uniqueness and stability of solutions, this work presents a systematic elaboration of the theory of inverse problems for all principal types of partial differential equations. It covers up-to-date methods of linear and nonlinear analysis, the theory of differential equations in Banach spaces, applications of functional analysis, and semigroup theory.
Dealing with the controversies over the reality of the external world, this work offers a defense of realism, a critique of various forms of contemporary anti-realism, and a sketch of the author's version of realism, namely hylorealism. It examines the main varieties of antirealism and argues that all of these in fact hinder scientific research.
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A compendium of original essays and contemporary viewpoints on the 1917 Revolution The Russian revolution of 1917 reverberated throughout an empire that covered one-sixth of the world. It altered the geo-political landscape of not only Eurasia, but of the entire globe. The impact of this immense event is still felt in the present day. The historiography of the last two decades has challenged conceptions of the 1917 revolution as a monolithic entity— the causes and meanings of revolution are many, as is reflected in contemporary scholarship on the subject. A Companion to the Russian Revolution offers more than thirty original essays, written by a team of respected scholars and historians of...
This is the true story behind General Alexander Orlov, the man who never was, now revealed in full for the first time: Stalinist henchman, Soviet spy, celebrated defector to the West, and central character in the greatest KGB deception ever.
Nonlinear analysis is a broad, interdisciplinary field characterized by a remarkable mixture of analysis, topology, and applications. Its concepts and techniques provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in fields ranging from engineering and chemistry to economics and biology. This volume focuses on topics in nonlinear analysis pertinent to the theory of boundary value problems and their application in areas such as control theory and the calculus of variations. It complements the many other books on nonlinear analysis by addressing topics previously discussed fully only in scattered research papers. These include recent results on critical point theory, nonlinear differential operators, and related regularity and comparison principles. The rich variety of topics, both theoretical and applied, make Nonlinear Analysis useful to anyone, whether graduate student or researcher, working in analysis or its applications in optimal control, theoretical mechanics, or dynamical systems. An appendix contains all of the background material needed, and a detailed bibliography forms a guide for further study.