Asymptotic Methods In Theory Of Linear Differential Equations With List Of References PDF Download
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Author | : |
Publisher | : |
Total Pages | : 268 |
Release | : 1967 |
Genre | : Asymptotic expansions |
ISBN | : |
Download Asymptotic Methods in Theory of Linear Differential Equations [with List of References] Book in PDF, ePub and Kindle
Author | : Stepan Fedorovich Feshchenko |
Publisher | : |
Total Pages | : 268 |
Release | : 1967 |
Genre | : Asymptotic expansions |
ISBN | : |
Download Asymptotic Methods in the Theory of Linear Differential Equations Book in PDF, ePub and Kindle
Author | : Stepan Fedorovič Feščenko |
Publisher | : |
Total Pages | : 0 |
Release | : 1967 |
Genre | : Asymptotic expansions |
ISBN | : |
Download Asymptotic Methods in the Theory of Linear Differential Equations Book in PDF, ePub and Kindle
Author | : Mikhail V. Fedoryuk |
Publisher | : Springer Science & Business Media |
Total Pages | : 370 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642580165 |
Download Asymptotic Analysis Book in PDF, ePub and Kindle
In this book we present the main results on the asymptotic theory of ordinary linear differential equations and systems where there is a small parameter in the higher derivatives. We are concerned with the behaviour of solutions with respect to the parameter and for large values of the independent variable. The literature on this question is considerable and widely dispersed, but the methods of proofs are sufficiently similar for this material to be put together as a reference book. We have restricted ourselves to homogeneous equations. The asymptotic behaviour of an inhomogeneous equation can be obtained from the asymptotic behaviour of the corresponding fundamental system of solutions by applying methods for deriving asymptotic bounds on the relevant integrals. We systematically use the concept of an asymptotic expansion, details of which can if necessary be found in [Wasow 2, Olver 6]. By the "formal asymptotic solution" (F.A.S.) is understood a function which satisfies the equation to some degree of accuracy. Although this concept is not precisely defined, its meaning is always clear from the context. We also note that the term "Stokes line" used in the book is equivalent to the term "anti-Stokes line" employed in the physics literature.
Author | : Stepan Fedorovich Feshchenko |
Publisher | : |
Total Pages | : 278 |
Release | : 1967 |
Genre | : Asymptotic expansions |
ISBN | : |
Download Asymptotic Methods in the Theory of Linear Differential Equations Book in PDF, ePub and Kindle
Author | : B Vainberg |
Publisher | : CRC Press |
Total Pages | : 516 |
Release | : 1989-02-25 |
Genre | : Science |
ISBN | : 9782881246647 |
Download Asymptotic Methods in Equations of Mathematical Physics Book in PDF, ePub and Kindle
Typed English translation of a monograph first published (in Russian) in 1982. Provides graduate students and researchers with usefully detailed discussion of most of the asymptotic methods standard these days to the work of mathematical physicists. The author prefers not to dwell in the heights of abstraction; he has written a broadly intelligble book, which is informed at every point by his secure command of major physical applications. An expensive but valuable contribution to the literature of an important but too-little-written- about field. Twelve chapters, references. (NW) Annotation copyrighted by Book News, Inc., Portland, OR
Author | : A. V. Skorokhod |
Publisher | : American Mathematical Soc. |
Total Pages | : 362 |
Release | : 2009-01-07 |
Genre | : Mathematics |
ISBN | : 9780821898253 |
Download Asymptotic Methods in the Theory of Stochastic Differential Equations Book in PDF, ePub and Kindle
Ergodic theorems: General ergodic theorems Densities for transition probabilities and resolvents for Markov solutions of stochastic differential equations Ergodic theorems for one-dimensional stochastic equations Ergodic theorems for solutions of stochastic equations in $R^d$ Asymptotic behavior of systems of stochastic equations containing a small parameter: Equations with a small right-hand side Processes with rapid switching Averaging over variables for systems of stochastic differential equations Stability. Linear systems: Stability of sample paths of homogeneous Markov processes Linear equations in $R^d$ and the stochastic semigroups connected with them. Stability Stability of solutions of stochastic differential equations Linear stochastic equations in Hilbert space. Stochastic semigroups. Stability: Linear equations with bounded coefficients Strong stochastic semigroups with second moments Stability Bibliography
Author | : David Y. Gao |
Publisher | : CRC Press |
Total Pages | : 270 |
Release | : 2006-05-03 |
Genre | : Mathematics |
ISBN | : 1420011731 |
Download Introduction to Asymptotic Methods Book in PDF, ePub and Kindle
Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining more effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, Introduction to Asymptotic Methods reviews the most important m
Author | : A. V. Skorokhod |
Publisher | : American Mathematical Soc. |
Total Pages | : 339 |
Release | : 2009-01-07 |
Genre | : Mathematics |
ISBN | : 9780821846865 |
Download Asymptotic Methods in the Theory of Stochastic Differential Equations Book in PDF, ePub and Kindle
Written by one of the foremost Soviet experts in the field, this book is intended for specialists in the theory of random processes and its applications. The author's 1982 monograph on stochastic differential equations, written with Iosif Ilich Gikhman, did not include a number of topics important to applications. The present work begins to fill this gap by investigating the asymptotic behavior of stochastic differential equations. The main topics are ergodic theory for Markov processes and for solutions of stochastic differential equations, stochastic differential equations containing a small parameter, and stability theory for solutions of systems of stochastic differential equations.
Author | : Mikhail Vladimirovich Karasev |
Publisher | : |
Total Pages | : 0 |
Release | : 2003 |
Genre | : Differential equations, Nonlinear |
ISBN | : 9780821833360 |
Download Asymptotic Methods for Wave and Quantum Problems Book in PDF, ePub and Kindle
Four papers on mathematical physics, all employing asymptotic methods, have been translated from Russian for this volume. The topics are the relations between quantization of symplectic manifolds and nonlinear wave processes, the propagation and interaction of nonlinear waves, a review of the theory of semiclassical approximation for nonlinear second-order ordinary differential equations, and the calculation of a single eigenvalue and localized eigenstate using asymptotic methods. Each paper includes a list of references; there is no index. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com).