T Formula
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Difference Equations in Normed Spaces
Difference equations appear as natural descriptions of observed evolution phenomena because most measurements of time evolving variables are discrete. They also appear in the applications of discretization methods for differential, integral and integro-differential equations. The application of the theory of difference equations is rapidly increasing to various fields, such as numerical analysis, control theory, finite mathematics, and computer sciences. This book is devoted to linear and nonlinear difference equations in a normed space. The main methodology presented in this book is based on a combined use of recent norm estimates for operator-valued functions with the following methods and results: - The freezing method - The Liapunov type equation - The method of majorants - The multiplicative representation of solutions - Deals systematically with difference equations in normed spaces - Considers new classes of equations that could not be studied in the frameworks of ordinary and partial difference equations - Develops the freezing method and presents recent results on Volterra discrete equations - Contains an approach based on the estimates for norms of operator functions
Theory and Applications of Satisfiability Testing - SAT 2013
This book constitutes the refereed proceedings of the 16th International Conference on Theory and Applications of Satisfiability Testing, SAT 2013, held in Helsinki, Finland in July 2013. The 21 regular papers, 5 short papers, and 5 tool papers presented together with 3 invited talks were carefully reviewed and selected from 71 submissions (850 regular, 15 short and 16 tool papers). The focus of the papers in on following topics: maximum satisfiability, encodings and applications, solver techniques and algorithms, clique-width and SAT, propositional proof complexity, parameterized complexity.