ISBN:3540166998

Author: | Aleksei A. Dezin,Ralph P. Boas |

ISBN13: | 978-3540166993 |

Title: | Partial Differential Equations: An Introduction to a General Theory of Linear Boundary Value Problems (Springer Series in Soviet Mathematics) |

Format: | rtf lrf mobi lrf |

ePUB size: | 1533 kb |

FB2 size: | 1327 kb |

DJVU size: | 1544 kb |

Language: | English |

Category: | Mathematics |

Publisher: | Springer; 1 edition (June 2, 1987) |

Pages: | 165 |

In essence, the book studies boundary value problems for linear partial differ ential equations in a finite domain in n-dimensional Euclidean space. Springer Series in Soviet Mathematics. Partial Differential Equations. An Introduction to a General Theory of Linear Boundary Value Problems. Table of contents (9 chapters). Elements of Spectral Theory. Dezin, Aleksei A. Pages 1-23. Pages 24-54. Pages 55-68. Pages 69-80.

boundary value problems, by Aleksei A. Dezin. Translated by Ralph P. Boas. There are many illustrations and examples presented in the text, and some. of the sections have problems. It is to this and related. problems that Dezin addresses his book. He asks if the well-known classes of. partial differential equations are special in any way. Given an arbitrarily. chosen equation, can one find reasonable boundary conditions that will lead. to a well posed problem? What happens when a boundary value problem is. incorrectly posed? Dezin has undertaken a study of these problems for special classes of equa-. He does not give general theorems, but he studies many different exam

2011 Серия: Springer Series in Soviet Mathematics Язык: ENG Размер: 2. 9 x 1. 0 x . 9 cm Основная тема: Mathematics Подзаголовок: An Introduction to a General Theory of Linear Boundary Value Problems Рейтинг: Поставляется из: Германии.

Introduction to Boundary Value Problems of Nonlinear Elastostatics Taira, Kazuaki, Tsukuba Journal of Mathematics, 2008. On solvability of some boundary value problems for differential equations with "maxima" Stepanov, Eugene, Topological Methods in Nonlinear Analysis, 1996. The theory of semigroups with weak singularity and its applications to partial differential equations Taira, Kazuaki, Tsukuba Journal of Mathematics, 1989.

Partial Differential Equations : An Introduction to a General Theory of Linear Boundary Value Problems. Let me begin by explaining the meaning of the title of this book. In essence, the book studies boundary value problems for linear partial differ ential equations in a finite domain in n-dimensional Euclidean space.

The book covers important d topics such as solutions of ODEs in form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of Fourier series. Undergraduate and graduate students in mathematics, physics and engineering will benefit from this book. The book assumes familiarity with calculus. Скачать (pdf, . 8 Mb) Читать.

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives. PDEs are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a computer model. A special case is ordinary differential equations (ODEs), which deal with functions of a single variable and their derivatives.

Game-Theoretical Control Problems, Krasovskii, Subbotin (unfree). Introduction to Random Processes, Rozanov (unfree). Lagrangian Manifolds and the Maslov Operator, Mishchenko et al (unfree). Learning Higher Mathematics, Part I : The Method of Coordinates Part II : Analysis of the Infinitely Small, Pontrjagin (unfree). Lie Groups and Algebraic Groups, Onishchik, Vinberg (unfree) . Partial Differential Equations, An Introduction to a General Theory of Linear Boundary Value Problems, Dezin (unfree). Sobolev Spaces, Maz’ya (unfree).

Springer, Berlin, 1989. 142 p. DM 25, ISBN 3-540-51830-4. This volume contains the papers presented during a workshop held in July 1988. The fourth chapter is devoted to the study of evolution equations using the theory of semigroups of linear operators on a Banach space. After a brief introduction to the abstract theory, illustrations via some standard partial differential equations are provided. The last chapter provides an introduction to the study of semi-linear elliptic boundary value problems from the point of fixed-point theorems, ap- eroximation methods and variational principles.

Let me begin by explaining the meaning of the title of this book. In essence, the book studies boundary value problems for linear partial differ ential equations in a finite domain in n-dimensional Euclidean space. The problem that is investigated is the question of the dependence of the nature of the solvability of a given equation on the way in which the boundary conditions are chosen, i.e. on the supplementary requirements which the solution is to satisfy on specified parts of the boundary. The branch of mathematical analysis dealing with the study of boundary value problems for partial differential equations is often called mathematical physics. Classical courses in this subject usually consider quite restricted classes of equations, for which the problems have an immediate physical context, or generalizations of such problems. With the expanding domain of application of mathematical methods at the present time, there often arise problems connected with the study of partial differential equations that do not belong to any of the classical types. The elucidation of the correct formulation of these problems and the study of the specific properties of the solutions of similar equations are closely related to the study of questions of a general nature.

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