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Differential Equations

Most popular at the top

  • Dynamical Mechanical Systems Under Random Impulsesby R. Iwankiewicz

    World Scientific Publishing Company 1995; US$ 80.00

    The book presents the methods of analysis of dynamical mechanical systems subjected to stochastic excitations in form of random trains of impulses. This particular class of excitations is adequately characterized by stochastic point processes and behaviour of dynamical systems is governed by stochastic differential equations driven by point processes.... more...

  • Six Lectures on Dynamical Systemsby A. Aulbach; Fritz Colonius

    World Scientific Publishing Company 1996; US$ 107.00

    This volume consists of six articles covering different facets of the mathematical theory of dynamical systems. The topics range from topological foundations through invariant manifolds, decoupling, perturbations and computations to control theory. All contributions are based on a sound mathematical analysis. Some of them provide detailed proofs while... more...

  • Symmetrization and Applicationsby S. Kesavan

    World Scientific Publishing Company 2006; US$ 107.00

    The study of isoperimetric inequalities involves a fascinating interplay of analysis, geometry and the theory of partial differential equations. Several conjectures have been made and while many have been resolved, a large number still remain open.One of the principal tools in the study of isoperimetric problems, especially when spherical symmetry... more...

  • Nonlinearity, Integrability and All Thatby M. Boiti; L. Martina; F. Pempinelli; B. Prinari; G. Soliani

    World Scientific Publishing Company 2000; US$ 328.00

    This book discusses achievements in the last 20 years, recent developments and future perspectives in nonlinear science. Both continuous and discrete systems — classical and quantum — are considered. more...

  • Abstract Methods in Information Theoryby Yuichiro Kakihara

    World Scientific Publishing Company 1999; US$ 81.00

    Information Theory is studied from the following view points: (1) the theory of entropy as amount of information; (2) the mathematical structure of information sources (probability measures); and (3) the theory of information channels. Shannon entropy and Kolmogorov-Sinai entropy are defined and their basic properties are examined, where the latter... more...

  • Fundamental Concepts in Modern Analysisby V.L. Hansen

    World Scientific Publishing Company 1999; US$ 81.00

    Many advanced mathematical disciplines, such as dynamical systems, calculus of variations, differential geometry and the theory of Lie groups, have a common foundation in general topology and calculus in normed vector spaces. In this book, mathematically inclined engineering students are offered an opportunity to go into some depth with fundamental... more...

  • Three Classes of Nonlinear Stochastic Partial Differential Equationsby Jie Xiong

    World Scientific Publishing Company 2013; US$ 88.00

    The study of measure-valued processes in random environments has seen some intensive research activities in recent years whereby interesting nonlinear stochastic partial differential equations (SPDEs) were derived. Due to the nonlinearity and the non-Lipschitz continuity of their coefficients, new techniques and concepts have recently been developed... more...

  • Topological Methods, Variational Methods and Their Applicationsby H. Brezis; K. C. Chang; S.J. Li; P. Rabinowitz

    World Scientific Publishing Company 2003; US$ 251.00

    ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 14–18, 2002 at Taiyuan, Shanxi Province, China. This conference was organized by Mathematical School of Peking University, Academy of Mathematics and System Sciences of Chinese Academy of Sciences, Mathematical school of Nankai University, and Department of Mathematics... more...

  • Special Functionsby Charles Dunki; Mourad Ismail; Roderick Wong

    World Scientific Publishing Company 2000; US$ 259.00

    Special functions and q-series are currently very active areas of research which overlap with many other areas of mathematics, such as representation theory, classical and quantum groups, affine Lie algebras, number theory, harmonic analysis, and mathematical physics. This book presents the state-of-the-art of the subject and its applications. more...

  • Derivative Securities and Difference Methodsby You-lan Zhu; Xiaonan Wu; I-Liang Chern; Zhi-zhong Sun

    Springer 2013; US$ 149.00

    This book is mainly devoted to finite difference numerical methods for solving partial differential equations (PDEs) models of pricing a wide variety of financial derivative securities. With this objective, the book is divided into two main parts.In the first part, after an introduction concerning the basics on derivative securities, the authors explain... more...