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Differential Equations

Most popular at the top

  • 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...

  • Differential Equationsby Christian Constanda

    Springer 2013; US$ 49.99

    Differential Equations for Scientists and Engineers is a book designed with students in mind. It attempts to take a concise, simple, and no-frills approach to differential equations. The approach used in this text is to give students extensive experience in main solution techniques with a lighter emphasis on the physical interpretation of... more...

  • Analysis IIby Christiane Tretter

    Springer 2013; US$ 19.99

    Dieses kompakte Lehrbuch ist der zweite von zwei einführenden Bänden in die Analysis. Es zeichnet sich dadurch aus, dass es alle klassischen Themen der Analysis II genau im Umfang einer vierstündigen Vorlesung präsentiert und gleichzeitig auf typische Schwierigkeiten im ersten Studienjahr eingeht. Insbesondere bietet es vorlesungserprobte... more...

  • Classification of Lipschitz Mappingsby Lukasz Piasecki

    Taylor and Francis 2013; US$ 99.95

    Classification of Lipschitz Mappings presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its application in many topics of metric fixed point theory. Suitable for readers interested in metric fixed point theory, differential equations, and dynamical systems, the book only requires a basic background... more...

  • Distributions, Partial Differential Equations, and Harmonic Analysisby Dorina Mitrea

    Springer 2013; US$ 89.99

    ?The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential... more...