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Differential Equations

  • Équations aux dérivées partielles elliptiques non linéairesby Herve Le Dret

    Springer 2013; US$ 39.95

    Cet ouvrage est issu d’un cours de Master 2 enseigné à l’UPMC entre 2004 et 2007. Nous y présentons une sélection de techniques mathématiques orientées vers la résolution des équations aux dérivées partielles elliptiques semi-linéaires et quasi-linéaires. Après un vade-mecum... more...

  • Absolute Stability of Nonlinear Control Systemsby Xiaoxin Liao; Pei Yu

    Springer 2008; US$ 119.00

    Following the recent developments in the field of absolute stability, Professor Xiaoxin Liao, in conjunction with Professor Pei Yu, has created a second edition of his seminal work on the subject. Liao begins with an introduction to the Lurie problem and the Lurie control system, before moving on to the simple algebraic sufficient conditions for the... more...

  • Abstract Cauchy Problemsby Irina V. Melnikova; Alexei Filinkov

    Taylor and Francis 2001; US$ 164.95

    Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems-involved in a numerous mathematical models in physics, engineering, and finance- can be approached in a variety of ways. Historically, there have been three major strategies for dealing with such problems: semigroup, abstract distribution, and regularization... more...

  • Abstract Methods in Information Theoryby Yuichiro Kakihara

    World Scientific Publishing Company 1999; US$ 81.00

    Information Theory is studied from the following view points: (1) the theory of entropy as amount of information; (2) the mathematical structure of information sources (probability measures); and (3) the theory of information channels. Shannon entropy and Kolmogorov-Sinai entropy are defined and their basic properties are examined, where the latter... more...

  • Abstract Volterra Integro-Differential Equationsby Marko Kostic

    Taylor and Francis 2015; US$ 149.95

    The theory of linear Volterra Integro-differental equations has been developing rapidly in the last three decades. This book provides an easy-to-read, concise introduction to the theory of ill-posed abstract Volterra Integro-differential equations. It is accessible to readers whose backgrounds include functions of one complex variable, integration... more...

  • Abstract and Applied Analysisby N. M. Chuong; L. Nirenberg; W. Tutschke

    World Scientific Publishing Company 2004; US$ 305.00

    This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods. Topics include linear elliptic systems for composite material — the coefficients may jump from domain to domain; Stochastic Analysis — many applied problems involve... more...

  • Acoustics, Mechanics, and the Related Topics of Mathematical Analysisby Armand Wirgin

    World Scientific Publishing Company 2003; US$ 273.00

    This book concerns the mathematical analysis — modeling physical concepts, existence, uniqueness, stability, asymptotics, computational schemes, etc. — involved in predicting complex mechanical/acoustical behavior/response and identifying or optimizing mechanical/acoustical systems giving rise to phenomena that are either observed or... more...

  • Adaptation in Dynamical Systemsby Ivan Tyukin

    Cambridge University Press 2011; US$ 106.00

    A unifying system-theoretic view of adaptation in dynamical systems for researchers and graduates in cybernetics, mathematical modelling and neuroscience. more...

  • Adaptive Atmospheric Modelingby Jörn Behrens

    Springer 2007; US$ 179.00

    Gives an overview and guidance in the development of adaptive techniques for atmospheric modeling. This book covers paradigms of adaptive techniques, such as error estimation and adaptation criteria. Considering applications, it demonstrates several techniques for discretizing relevant conservation laws from atmospheric modeling. more...

  • Adaptive Control of Parabolic PDEsby Andrey Smyshlyaev; Miroslav Krstic

    Princeton University Press 2010; US$ 62.95

    This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev and Miroslav Krstic develop explicit feedback laws... more...