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ISBN: 303480248X 9786613711212 3034802498 1280802863 3034808097 Year: 2012 Publisher: Basel [Switzerland] : Springer,
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Inequalities arise as an essential component in various mathematical areas. Besides forming a highly important collection of tools, e.g. for proving analytic or stochastic theorems or for deriving error estimates in numerical mathematics, they constitute a challenging research field of their own. Inequalities also appear directly in mathematical models for applications in science, engineering, and economics. This edited volume covers divers aspects of this fascinating field. It addresses classical inequalities related to means or to convexity as well as inequalities arising in the field of ordinary and partial differential equations, like Sobolev or Hardy-type inequalities, and inequalities occurring in geometrical contexts. Within the last five decades, the late Wolfgang Walter has made great contributions to the field of inequalities. His book on differential and integral inequalities was a real breakthrough in the 1970’s and has generated a vast variety of further research in this field. He also organized six of the seven “General Inequalities” Conferences held at Oberwolfach between 1976 and 1995, and co-edited their proceedings. He participated as an honorary member of the Scientific Committee in the “General Inequalities 8” conference in Hungary. As a recognition of his great achievements, this volume is dedicated to Wolfgang Walter’s memory. The “General Inequalities” meetings found their continuation in the “Conferences on Inequalities and Applications” which, so far, have been held twice in Hungary. This volume contains selected contributions of participants of the second conference which took place in Hajdúszoboszló in September 2010, as well as additional articles written upon invitation. These contributions reflect many theoretical and practical aspects in the field of inequalities, and will be useful for researchers and lecturers, as well as for students who want to familiarize themselves with the area. .
Inequalities (Mathematics) -- Congresses. --- Inequalities (Mathematics). --- Integral inequalities. --- Mathematics. --- Inequalities (Mathematics) --- Engineering & Applied Sciences --- Applied Mathematics --- Differential equations. --- Partial differential equations. --- Numerical analysis. --- Numerical Analysis. --- Ordinary Differential Equations. --- Partial Differential Equations. --- Processes, Infinite --- Differential Equations. --- Differential equations, partial. --- Partial differential equations --- 517.91 Differential equations --- Differential equations --- Mathematical analysis --- Walter, Wolfgang, --- Walter, W. --- Walter, Wolfgang Ludwig,
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ISBN: 1441904360 9786612982606 1441904379 1282982605 Year: 2010 Publisher: New York, NY : Springer,
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Variational analysis is a rapidly growing field within pure and applied mathematics, with numerous applications to optimization, control theory, economics, engineering, and other disciplines. This volume brings together state-of-the-art results in variational analysis and its applications, with an emphasis on optimization and control. The included chapters, written by international experts in the field of variational analysis and related topics, are dedicated to Boris S. Mordukhovich, a renowned mathematician, and aim to celebrate his fundamental contributions to variational analysis, generalized differentiation and their applications. This volume is intended for mathematicians studying variational analysis as well as other researchers interested in applying the principles of variational analysis to their area of study.
Control theory -- Congresses. --- Existence theorems -- Congresses. --- Mathematical optimization -- Congresses. --- Variational inequalities (Mathematics) -- Congresses. --- Variational inequalities (Mathematics) --- Existence theorems --- Mathematical optimization --- Control theory --- Civil & Environmental Engineering --- Mathematics --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Calculus --- Operations Research --- Mathematical optimization. --- Control theory. --- Mathematical analysis. --- Mordukhovich, Boris S. --- 517.1 Mathematical analysis --- Mathematical analysis --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematics. --- Analysis (Mathematics). --- System theory. --- Calculus of variations. --- Calculus of Variations and Optimal Control; Optimization. --- Systems Theory, Control. --- Optimization. --- Analysis. --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Dynamics --- Machine theory --- Systems theory. --- Global analysis (Mathematics). --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Systems, Theory of --- Systems science --- Science --- Isoperimetrical problems --- Variations, Calculus of --- Philosophy --- Calculus. --- Analysis (Mathematics) --- Fluxions (Mathematics) --- Infinitesimal calculus --- Limits (Mathematics) --- Functions --- Geometry, Infinitesimal
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