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Asymptotic Solutions Of A Linear Second Order Differential Equation With Two Turning Points
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Book Synopsis Asymptotic Solutions of a Linear Second Order Differential Equation with Two Turning Points by : Wallace Eugene Johnson
Download or read book Asymptotic Solutions of a Linear Second Order Differential Equation with Two Turning Points written by Wallace Eugene Johnson and published by . This book was released on 1952 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Asymptotic Solutions of Ordinary Linear Differential Equations about a Turning Point by : Rudolph Ernest Langer
Download or read book On the Asymptotic Solutions of Ordinary Linear Differential Equations about a Turning Point written by Rudolph Ernest Langer and published by . This book was released on 1954 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Uniform Asymptotic Solution to a Second Order Linear Ordinary Differential Equation with Turning Points by : James L. Myers
Download or read book A Uniform Asymptotic Solution to a Second Order Linear Ordinary Differential Equation with Turning Points written by James L. Myers and published by . This book was released on 1976 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The asymptotic solution of linear second order differential equations in a domain containing a turning point and regular singularity by : R. C. Thorne
Download or read book The asymptotic solution of linear second order differential equations in a domain containing a turning point and regular singularity written by R. C. Thorne and published by . This book was released on 1956 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Uniform Asymptotic Solutions of Second Order, Linear, Ordinary Differential Equations with Turning Points by : Roger Yen Shen Lynn
Download or read book Uniform Asymptotic Solutions of Second Order, Linear, Ordinary Differential Equations with Turning Points written by Roger Yen Shen Lynn and published by . This book was released on 1968 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Uniform Asymptotic Solutions with Respect to a Parameter for Linear Second Order Ordinary Differential Equations with Turning Points by : Barry Willner
Download or read book Uniform Asymptotic Solutions with Respect to a Parameter for Linear Second Order Ordinary Differential Equations with Turning Points written by Barry Willner and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Solutions of Second Order Linear Ordinary Differential Equations about a Turning Point of the Second Order by : Robert W. McKelvey
Download or read book The Solutions of Second Order Linear Ordinary Differential Equations about a Turning Point of the Second Order written by Robert W. McKelvey and published by . This book was released on 1954 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Construction of Related Equations for the Asymptotic Theory of Linear Ordinary Differential Equations about a Turning Point by : RUDOLPH E. LANGER
Download or read book The Construction of Related Equations for the Asymptotic Theory of Linear Ordinary Differential Equations about a Turning Point written by RUDOLPH E. LANGER and published by . This book was released on 1962 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fully developed theory is extant, and can justifiably be referred to as classical, for the determination of the asymptotic forms of the solutions of a differential equation over any closed zregion which completely excludes turning-points. This theory applies, of course, irrespective of the region, to all equations with constant coefficients. The state of the theory is very different, namely quite fragmentary, when a turningpoint is lodged within the region. For this reason, and also because modern physical theories require it, the stdy of the solution forms of an equation in a region about a turning-point is of emminent contemporary interest. The classical algorithms fail irretrievably in such a region, a fact which has been shown to be inevitable by results otherwise obtained, because the forms yielded by those algorithms lak adequacy to reflect the intricate functional metamorphoses which characterize the solutions of the differential equation in a turning-point neighborhood. The origin is in this case a turning point, and bout this point the solutions undergo transitions between oscillatory and exponential function types. (Author).
Book Synopsis The Asymptotic Solution of Differential Equations with a Turning Point and Singularities by : R. C. Thorne
Download or read book The Asymptotic Solution of Differential Equations with a Turning Point and Singularities written by R. C. Thorne and published by . This book was released on 1957 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Expansions for Ordinary Differential Equations by : Wolfgang Wasow
Download or read book Asymptotic Expansions for Ordinary Differential Equations written by Wolfgang Wasow and published by Courier Dover Publications. This book was released on 2018-03-21 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This outstanding text concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. "A book of great value." — Mathematical Reviews. 1976 revised edition.
Book Synopsis Uniform Asymptotic Approximation of Solutions of Second-order Linear Differential Equations by : John Jay Nestor
Download or read book Uniform Asymptotic Approximation of Solutions of Second-order Linear Differential Equations written by John Jay Nestor and published by . This book was released on 1984 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Solutions of Differential Equations with Turning Points by :
Download or read book Asymptotic Solutions of Differential Equations with Turning Points written by and published by . This book was released on 1953 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Theory of Second Order Differential Equations with Two Simple Turning Points by : NICHOLAS D. KAZARINOFF
Download or read book Asymptotic Theory of Second Order Differential Equations with Two Simple Turning Points written by NICHOLAS D. KAZARINOFF and published by . This book was released on with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Solutions of Differential Equations and Their Applications by : Calvin Hayden Wilcox
Download or read book Asymptotic Solutions of Differential Equations and Their Applications written by Calvin Hayden Wilcox and published by . This book was released on 1964 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Analysis Of Differential Equations (Revised Edition) by : White Roscoe B
Download or read book Asymptotic Analysis Of Differential Equations (Revised Edition) written by White Roscoe B and published by World Scientific. This book was released on 2010-08-16 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives the practical means of finding asymptotic solutions to differential equations, and relates WKB methods, integral solutions, Kruskal-Newton diagrams, and boundary layer theory to one another. The construction of integral solutions and analytic continuation are used in conjunction with the asymptotic analysis, to show the interrelatedness of these methods. Some of the functions of classical analysis are used as examples, to provide an introduction to their analytic and asymptotic properties, and to give derivations of some of the important identities satisfied by them. The emphasis is on the various techniques of analysis: obtaining asymptotic limits, connecting different asymptotic solutions, and obtaining integral representation.
Book Synopsis Linear Turning Point Theory by : Wolfgang Wasow
Download or read book Linear Turning Point Theory written by Wolfgang Wasow and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: My book "Asymptotic Expansions for Ordinary Differential Equations" published in 1965 is out of print. In the almost 20 years since then, the subject has grown so much in breadth and in depth that an account of the present state of knowledge of all the topics discussed there could not be fitted into one volume without resorting to an excessively terse style of writing. Instead of undertaking such a task, I have concentrated, in this exposi tion, on the aspects of the asymptotic theory with which I have been particularly concerned during those 20 years, which is the nature and structure of turning points. As in Chapter VIII of my previous book, only linear analytic differential equations are considered, but the inclusion of important new ideas and results, as well as the development of the neces sary background material have made this an exposition of book length. The formal theory of linear analytic differential equations without a parameter near singularities with respect to the independent variable has, in recent years, been greatly deepened by bringing to it methods of modern algebra and topology. It is very probable that many of these ideas could also be applied to the problems concerning singularities with respect to a parameter, and I hope that this will be done in the near future. It is less likely, however, that the analytic, as opposed to the formal, aspects of turning point theory will greatly benefit from such an algebraization.
Book Synopsis Asymptotic Solutions of a Nonhomogeneous Differential Equation with a Turning Point by : R. A. CLARK
Download or read book Asymptotic Solutions of a Nonhomogeneous Differential Equation with a Turning Point written by R. A. CLARK and published by . This book was released on 1962 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: A line r second-order differential equation of the form (1) d2 U/dt2 + 2 (t) + (t,) U = 2 (t,) is considered with the real variable t ranging over a finite closed interval. The parameter is assumed to be large and complex-valued and the real-valued function is assumed to have a single zero of first order, known as a tuning point. Assuming that and are analytic in for> 0> 0 and that, and are infintely differentiable in t, two types of formal solutions are constructed in terms of a solution of the differential equation (2) S (z) + z S(z) = 1 . Properties of solutions of (2) are established and it is shown that, when lies in a given quadrant of the -plane, S can be chosen so that the formal solutions funish asymptotic representations of actual solutions of (1) provided is sufficiently large. (Author).
