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Differential Equations

Most popular at the top

  • 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...

  • 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...

  • 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...

  • 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...