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Differential Equations

Most popular at the top

  • Analytic Semigroups and Optimal Regularity in Parabolic Problemsby Alessandra Lunardi

    Springer 2012; US$ 59.95

    The book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be fruitfully applied to the study of parabolic problems. Particular attention is paid to optimal regularity results in linear equations. Furthermore, these results are used to study several other problems, especially fully nonlinear ones. Owing... more...

  • The Structure of Functionsby Hans Triebel

    Springer 2012; US$ 59.95

    This book deals with the constructive Weierstrassian approach to the theory of function spaces and various applications. The first chapter is devoted to a detailed study of quarkonial (subatomic) decompositions of functions and distributions on euclidean spaces, domains, manifolds and fractals. This approach combines the advantages of atomic and wavelet... 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...

  • 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...

  • 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...

  • 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...

  • 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...

  • 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...

  • 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...

  • Stochastic Differential Equationsby Bernt Øksendal

    Springer 2003; US$ 39.95

    This book gives an introduction to the basic theory of stochastic calculus and its applications. Examples are given throughout the text, in order to motivate and illustrate the theory and show its importance for many applications in e.g. economics, biology and physics. The basic idea of the presentation is to start from some basic results (without... more...