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Differential Equations

Most popular at the top

  • 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...

  • 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...

  • 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...

  • Boundary Value Problems for Functional Differential Equationsby J. Henderson

    World Scientific Publishing Company 1995; US$ 179.00

    Functional differential equations have received attention since the 1920's. Within that development, boundary value problems have played a prominent role in both the theory and applications dating back to the 1960's. This book attempts to present some of the more recent developments from a cross-section of views on boundary value problems... more...

  • Optimal Control and Forecasting of Complex Dynamical Systemsby Ilya Grigorenko

    World Scientific Publishing Company 2006; US$ 128.00

    This important book reviews applications of optimization and optimal control theory to modern problems in physics, nano-science and finance. The theory presented here can be efficiently applied to various problems, such as the determination of the optimal shape of a laser pulse to induce certain excitations in quantum systems, the optimal design of... more...

  • Henstock-Kurzweil Integrationby Jaroslav Kurzweil

    World Scientific Publishing Company 2000; US$ 70.00

    Henstock-Kurzweil (HK) integration, which is based on integral sums, can be obtained by an inconspicuous change in the definition of Riemann integration. It is an extension of Lebesgue integration and there exists an HK-integrable function f such that its absolute value more...

  • Linear Systems and Exponential Dichotomy and Structure of Sets of Hyperbolic Pointsby Zhensheng Lin; Yan-Xia Lin

    World Scientific Publishing Company 2000; US$ 95.00

    Historically, the theory of stability is based on linear differential systems, which are simple and important systems in ordinary differential equations. The research on differential equations and on the theory of stability will, to a certain extent, be influenced by the research on linear differential systems. For differential linear equation systems,... more...