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Differential Equations

Most popular at the top

  • 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...

  • Evolution Equations and Approximationsby Kazufumi Ito; Franz Kappel

    World Scientific Publishing Company 2002; US$ 208.00

    This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille–Yosida), nonlinear (Crandall–Liggett) and time-dependent (Crandall–Pazy) theorems. The implicit finite difference method of Euler is shown to generate a sequence... more...

  • 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...

  • Quasilinear Hyperbolic Systems and Dissipative Mechanismsby L. Hsiao

    World Scientific Publishing Company 1998; US$ 81.00

    This book introduces the recent developments in the subject of quasilinear hyperbolic systems with dissipation, such as frictional damping, relaxation, viscosity and heat diffusion. The mathematical theory behind this subject is emphasized in two ways. One emphasis is based on understanding the influence of the dissipation mechanism on the qualitative... more...

  • Infinite Dimensional Harmonic Analysis IVby Joachim Hilgert

    World Scientific Publishing Company 2008; US$ 237.00

    The Fourth Conference on Infinite Dimensional Harmonic Analysis brought together experts in harmonic analysis, operator algebras and probability theory. Most of the articles deal with the limit behavior of systems with many degrees of freedom in the presence of symmetry constraints. This volume gives new directions in research bringing together probability... more...

  • New Trends in Quantum Integrable Systemsby Boris Feigin; Jimbo Michio; Okado Masato

    World Scientific Publishing Company 2010; US$ 234.00

    The present volume is the result of the international workshop on New Trends in Quantum Integrable Systems that was held in Kyoto, Japan, from 27 to 31 July 2009. As a continuation of the RIMS Research Project Method of Algebraic Analysis in Integrable Systems in 2004, the workshop's aim was to cover exciting new developments that have emerged... more...

  • Analysis of Singularities for Partial Differential Equationsby Shuxing Chen

    World Scientific Publishing Company 2010; US$ 94.00

    The book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs). It contains a summarization of the formation, development and main results on this topic. Some of the author's discoveries and original contributions are also included, such as the propagation of singularities of solutions... more...

  • Impulsive Differential Equations with a Small Parameterby D.D. Bainov; V. Covachec

    World Scientific Publishing Company 1994; US$ 110.00

    This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter One serves as an introduction. In Chapter Two, regularly perturbed impulsive differential equations are considered. Modifications of the method of small parameter, the averaging method, and the method of integral manifolds are proposed.... more...

  • Index Transformsby Semen B. IAkubovich

    World Scientific Publishing Company 1996; US$ 127.00

    This book deals with the theory and some applications of integral transforms that involve integration with respect to an index or parameter of a special function of hypergeometric type as the kernel (index transforms). The basic index transforms are considered, such as the Kontorovich–Lebedev transform, the Mehler–Fock transform, the... more...

  • Boundary Value Problems, Integral Equations and Related Problemsby G. C. Wen

    World Scientific Publishing Company 2010; US$ 212.00

    In this volume, we report new results about various boundary value problems for partial differential equations and functional equations, theory and methods of integral equations and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of... more...