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High Precision Methods in Eigenvalue Problems and theirby L.D. Akulenko; Sergei V Nesterov
CRC Press 2004; US$ 119.95This book gives a survey of analytical, asymptotic, numerical and combined methods of solving eigenvalue problems. more...
Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equationsby Dan Henry; Jack Hale; Antônio Luiz Pereira; N. J. Hitchin
Cambridge University Press 2005; US$ 71.00Perturbation of the boundary is a rather neglected topic in the study of partial differential equations, in part because it often entails long and difficult caluclations. Here the author carefully discusses a calculus that overcomes the computational morass, and he goes on to develop more general forms of standard theorems, which help answer a wide range of problems involving boundary perturbations. more...
Sturm-Liouville Theoryby Werner O. Amrein; Andreas M. Hinz; David P. Pearson
Springer 2005; US$ 109.00This collection of articles on Sturm-Liouville theory is based on lectures presented at the colloquium and workshop held in Geneva on the occasion of Sturm's 200th anniversary. A historical survey of the field is combined with in-depth coverage of later developments and contemporary research in this major area of modern mathematics and its applications. The authors are among the world's leading experts in this field. more...
Second Order Elliptic Integro-Differential Problemsby Maria Giovanna Garroni
CRC Press 2002; US$ 119.95This title offers a systematic presentation of the properties and applications of elliptic integro-differential operators. It also includes three chapters of information that present key results and background in integro-differential operators and equations. more...
Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domainsby Michail Borsuk; Vladimir Kondratiev
Elsevier 2006; US$ 215.00The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains. The authors concentrate on the following fundamental results: sharp estimates for strong and weak solutions, solvability of the boundary value problems, regularity assertions for solutions near singular points. Key features: * New the Hardy ? Friedrichs ? Wirtinger type inequalities as well as new integral inequalities related to the Cauchy problem for a differential equation. * Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this. * The question about the influence of the coefficients smoothness... more...
Two-Point Boundary Value Problemsby C. De Coster; P. Habets
Elsevier 2006; US$ 215.00This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book describes some recent and more involved results on this subject. These concern the combined use of the method with degree theory, with variational methods and positive operators. The second half of the book concerns applications. This part exemplifies the method and provides the reader with a fairly large introduction to the problematic of boundary value problems. Although the book concerns mainly ordinary differential equations, some attention is given to other settings such... more...
Boundary Value Problemsby David L. Powers
Elsevier 2005; US$ 113.00Boundary Value Problems is the leading text on boundary value problems and Fourier series. The author, David Powers, (Clarkson) has written a thorough, theoretical overview of solving boundary value problems involving partial differential equations by the methods of separation of variables. Professors and students agree that the author is a master at creating linear problems that adroitly illustrate the techniques of separation of variables used to solve science and engineering. * CD with animations and graphics of solutions, additional exercises and chapter review questions * Nearly 900 exercises ranging in difficulty * Many fully worked examples more...
Multiscale Modeling in Epitaxial Growthby Axel Voigt
Springer 2005; US$ 139.00The book provides a summary of recent developments in modeling epitaxial growth, with emphasis on multi-scale approaches and numerical methods. It presents a compact overview and can serve as an introduction for applied mathematicians, theoretical physicists and computational material scientists into this highly active interdisciplinary field of research. more...
Non-Self-Adjoint Boundary Eigenvalue Problemsby R. Mennicken; M. Möller
Elsevier 2003; US$ 210.00This monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and n -th order ordinary differential equations. In 10 chapters and one appendix, it provides a comprehensive treatment from abstract foundations to applications in physics and engineering. The focus is on non-self-adjoint problems. Bounded operators are associated to these problems, and Chapter 1 provides an in depth investigation of eigenfunctions and associated functions for bounded Fredholm valued operators in Banach spaces. Since every n -th order differential equation is equivalent to a first order system, the main techniques are developed for systems. Asymptotic fundamental systems are derived for a large... more...
Free Boundary Problemsby Isabel Narra Figueiredo; José Francisco Rodrigues; Lisa Santos
Springer 2007; US$ 179.00Featuring articles containing the lectures presented at the Free Boundary Problems Conference that took place at the University of Coimbra, Portugal, from June 7 to 12, 2005. This work deals with the mathematics of a broad class of models and problems involving nonlinear partial differential equations arising in physics, engineering, and biology. more...









