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Differential Equations

Most popular at the top

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

    World Scientific Publishing Company 1994; US$ 80.00

    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...

  • Boundary Value Problems for Functional Differential Equationsby J. Henderson

    World Scientific Publishing Company 1995; US$ 110.00

    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...

  • Quasilinear Hyperbolic Systems and Dissipative Mechanismsby L. Hsiao

    World Scientific Publishing Company 1998; US$ 88.00

    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...

  • Optimal Control and Forecasting of Complex Dynamical Systemsby Ilya Grigorenko

    World Scientific Publishing Company 2006; US$ 79.00

    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$ 60.00

    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$ 68.00

    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...

  • Matched Asymptotic Expansions in Reaction-Diffusion Theoryby John Leach; David Needham

    Springer London 2012; US$ 109.00

    This volume contains a wealth of results and methodologies applicable to a wide range of problems arising in reaction-diffusion theory. It can be viewed both as a handbook, and as a detailed description of the methodology. The authors present new methods based on matched asymptotic expansions. more...

  • Differential Equations on Complex Manifoldsby Boris Sternin; Victor Shatalov

    Springer Netherlands 2013; US$ 189.00

    The present monograph is devoted to the complex theory of differential equations. Not yet a handbook, neither a simple collection of articles, the book is a first attempt to present a more or less detailed exposition of a young but promising branch of mathematics, that is, the complex theory of partial differential equations. Let us try to describe... more...

  • Analysis IIby Wolfgang Walter

    Springer Berlin Heidelberg 2013; Not Available

    Das Hauptthema dieses zweiten Bandes ist die Differential-und Integralrechnung f}r Funktionen von mehrerenVer{nderlichen. Dabei wird auchdas Lebesguesche Integral imRn behandelt. Dem erfolgreichen Konzept von Analysis Ifolgend, wird viel Wert auf historische Zusammenh{nge,Ausblicke und die Entwicklung der Analysis... more...

  • ? Goes to Plus Infinityby Michel Chipot

    Birkhäuser Basel 2012; US$ 74.95

    Many physical problems are meaningfully formulated in a cylindrical domain. When the size of the cylinder goes to infinity, the solutions, under certain symmetry conditions, are expected to be identical in every cross-section of the domain. The proof of this, however, is sometimes difficult and almost never given in the literature. The present book... more...