Asymptotic Solutions of Ordinary Linear Differential Equations PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Asymptotic Solutions of Ordinary Linear Differential Equations PDF full book. Access full book title Asymptotic Solutions of Ordinary Linear Differential Equations by A. Erdélyi. Download full books in PDF and EPUB format.
Author: A. Erdélyi
Publisher:
ISBN:
Category :
Languages : en
Pages : 75
Get Book Here
Book Description
Author: A. Erdélyi
Publisher:
ISBN:
Category :
Languages : en
Pages : 75
Get Book Here
Book Description
Author: Arthur Erdélyi
Publisher:
ISBN:
Category : Asymptotic expansions
Languages : en
Pages : 182
Get Book Here
Book Description
Author: Rudolph Ernest Langer
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 44
Get Book Here
Book Description
Author: Mikhail V. Fedoryuk
Publisher: Springer Science & Business Media
ISBN: 3642580165
Category : Mathematics
Languages : en
Pages : 370
Get Book Here
Book Description
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: Arthur Erdélyi
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 75
Get Book Here
Book Description
Author: Rudolph Ernest Langer
Publisher:
ISBN:
Category :
Languages : en
Pages : 34
Get Book Here
Book Description
Author: Robert W. McKelvey
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 320
Get Book Here
Book Description
Author: E. W. Montroll
Publisher:
ISBN:
Category : Compressors
Languages : en
Pages : 290
Get Book Here
Book Description
Author: Lars Hörmander
Publisher: Springer Science & Business Media
ISBN: 9783540629214
Category : Mathematics
Languages : en
Pages : 308
Get Book Here
Book Description
In this introductory textbook, a revised and extended version of well-known lectures by L. Hörmander from 1986, four chapters are devoted to weak solutions of systems of conservation laws. Apart from that the book only studies classical solutions. Two chapters concern the existence of global solutions or estimates of the lifespan for solutions of nonlinear perturbations of the wave or Klein-Gordon equation with small initial data. Four chapters are devoted to microanalysis of the singularities of the solutions. This part assumes some familiarity with pseudodifferential operators which are standard in the theory of linear differential operators, but the extension to the more exotic classes of opertors needed in the nonlinear theory is presented in complete detail.
Author: George David Birkhoff
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 48
Get Book Here
Book Description
