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Differential Equations

Most popular at the top

  • Order Structure and Topological Methods in Nonlinear Partial Differential Equations: Vol. 1by Yihong Du

    World Scientific Publishing Company 2006; US$ 128.00

    The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems. The maximum principle is revisited through the... more...

  • Numerical Methods for Exterior Problemsby Ying Lung-An

    World Scientific Publishing Company 2006; US$ 193.00

    This book provides a comprehensive introduction to the numerical methods for the exterior problems in partial differential equations frequently encountered in science and engineering computing. The coverage includes both traditional and novel methods. A concise introduction to the well-posedness of the problems is given, establishing a solid foundation... more...

  • Analysis, Geometry and Topology of Elliptic Operatorsby Bernhelm Booß-Bavnbek; Slawomir Klimek; Matthias Lesch; Weiping Zhang

    World Scientific Publishing Company 2006; US$ 251.00

    Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem created 40 years ago. Reviewing elliptic theory over a broad range, 32 leading scientists from 14 different countries present recent developments in topology; heat kernel techniques; spectral invariants and cutting and pasting; noncommutative... more...

  • Associative Functionsby Claudi Alsina; Maurice J Frank; Berthold Schweizer

    World Scientific Publishing Company 2006; US$ 153.00

    The functional equation of associativity is the topic of Abel's first contribution to Crelle's Journal. Seventy years later, it was featured as the second part of Hilbert's Fifth Problem, and it was solved under successively weaker hypotheses by Brouwer (1909), Cartan (1930) and Aczel (1949). In 1958, B Schweizer and A Sklar showed that... more...

  • Complex Vector Functional Equationsby Ice Risteski; Valéry Covachev

    World Scientific Publishing Company 2001; US$ 113.00

    The subject of complex vector functional equations is a new area in the theory of functional equations. This monograph provides a systematic overview of the authors' recently obtained results concerning both linear and nonlinear complex vector functional equations, in all aspects of their utilization. It is intended for mathematicians, physicists... more...

  • Functional Equations and Inequalities in Several Variablesby Stefan Czerwik

    World Scientific Publishing Company 2002; US$ 168.00

    This book outlines the modern theory of functional equations and inequalities in several variables. It consists of three parts. The first is devoted to additive and convex functions defined on linear spaces with semilinear topologies. In the second part, the problems of stability of functional equations in the sense of Ulam–Hyers–Rassias... more...

  • Global Transversality, Resonance and Chaotic Dynamicsby Albert C. J. Luo

    World Scientific Publishing Company 2008; US$ 292.00

    This unique book presents a different point of view on the fundamental theory of global transversality, resonance and chaotic dynamics in n -dimensional nonlinear dynamic systems. The methodology and techniques presented in this book are applicable to nonlinear dynamical systems in general. This book provides useful tools for analytical and numerical... more...

  • A First Course in Ordinary Differential Equationsby Martin Hermann; Masoud Saravi

    Springer 2014; US$ 69.99

    This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the traditional format?the theorem-and-proof format?the book is focusing on analytical and numerical methods. The book supplies a variety of problems and examples, ranging from the elementary to the advanced... more...

  • Dispersive Equations and Nonlinear Wavesby Herbert Koch; Daniel Tataru; Viş; Monica an

    Springer 2014; US$ 49.99

    The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, modulation and adapted function spaces, with an application to the generalized Korteweg-de Vries equation and the Kadomtsev-Petviashvili equation. The energy-critical nonlinear Schrodinger equation, global... more...

  • Foundations of Mathematical System Dynamicsby George J. Klir

    Elsevier Science 2013; US$ 72.95

    This book is a foundational study of causality as conceived in the mathematical sciences. It is shown that modern mathematical dynamics involves a formulation of the fundamental concept of causality, and an exhaustive classification of causal systems. Among them are the 'self-steering' and 'self-regulating' systems, which together form the class of... more...