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Asymptotic Behavior Of Solutions And Adjunction Fields For Nonlinear First Order Differential Equations
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Book Synopsis Asymptotic Behavior of Solutions and Adjunction Fields for Nonlinear First Order Differential Equations by : Walter Strodt
Download or read book Asymptotic Behavior of Solutions and Adjunction Fields for Nonlinear First Order Differential Equations written by Walter Strodt and published by American Mathematical Soc.. This book was released on 1971 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Behavior of Solutions and Adjunction Fields for Nonlinear First Order Differential Equations by : Donald Bures
Download or read book Asymptotic Behavior of Solutions and Adjunction Fields for Nonlinear First Order Differential Equations written by Donald Bures and published by . This book was released on 1971 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Behavior of Solutiuons and Adjunction Fields for Nonlinear First Order Differential Equations by Walter Strodt and Robert K. Wright. Strodt by : Walter Charles Strodt
Download or read book Asymptotic Behavior of Solutiuons and Adjunction Fields for Nonlinear First Order Differential Equations by Walter Strodt and Robert K. Wright. Strodt written by Walter Charles Strodt and published by . This book was released on 1971 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations by : Ivan Kiguradze
Download or read book Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations written by Ivan Kiguradze and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a comprehensive review of the developments which have taken place during the last thirty years concerning the asymptotic properties of solutions of nonautonomous ordinary differential equations. The conditions of oscillation of solutions are established, and some general theorems on the classification of equations according to their oscillatory properties are proved. In addition, the conditions are found under which nonlinear equations do not have singular, proper, oscillatory and monotone solutions. The book has five chapters: Chapter I deals with linear differential equations; Chapter II with quasilinear equations; Chapter III with general nonlinear differential equations; and Chapter IV and V deal, respectively, with higher-order and second-order differential equations of the Emden-Fowler type. Each section contains problems, including some which presently remain unsolved. The volume concludes with an extensive list of references. For researchers and graduate students interested in the qualitative theory of differential equations.
Book Synopsis Asymptotic Integration of Differential and Difference Equations by : Sigrun Bodine
Download or read book Asymptotic Integration of Differential and Difference Equations written by Sigrun Bodine and published by Springer. This book was released on 2015-05-26 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theory of asymptotic integration for both linear differential and difference equations. This type of asymptotic analysis is based on some fundamental principles by Norman Levinson. While he applied them to a special class of differential equations, subsequent work has shown that the same principles lead to asymptotic results for much wider classes of differential and also difference equations. After discussing asymptotic integration in a unified approach, this book studies how the application of these methods provides several new insights and frequent improvements to results found in earlier literature. It then continues with a brief introduction to the relatively new field of asymptotic integration for dynamic equations on time scales. Asymptotic Integration of Differential and Difference Equations is a self-contained and clearly structured presentation of some of the most important results in asymptotic integration and the techniques used in this field. It will appeal to researchers in asymptotic integration as well to non-experts who are interested in the asymptotic analysis of linear differential and difference equations. It will additionally be of interest to students in mathematics, applied sciences, and engineering. Linear algebra and some basic concepts from advanced calculus are prerequisites.
Book Synopsis Asymptotic Behavior and Stability Problems in Ordinary Differential Equations by : Lamberto Cesari
Download or read book Asymptotic Behavior and Stability Problems in Ordinary Differential Equations written by Lamberto Cesari and published by Springer. This book was released on 2013-06-29 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and without: from within, as a development and deepen ing of the concepts and of the topological and analytical methods brought about by LYAPUNOV, POINCARE, BENDIXSON, and a few others at the turn of the century; from without, in the wake of the technological development, particularly in communications, servomechanisms, auto matic controls, and electronics. The early research of the authors just mentioned lay in challenging problems of astronomy, but the line of thought thus produced found the most impressive applications in the new fields. The body of research now accumulated is overwhelming, and many books and reports have appeared on one or another of the multiple aspects of the new line of research which some authors call "qualitative theory of differential equations". The purpose of the present volume is to present many of the view points and questions in a readable short report for which completeness is not claimed. The bibliographical notes in each section are intended to be a guide to more detailed expositions and to the original papers. Some traditional topics such as the Sturm comparison theory have been omitted. Also excluded were all those papers, dealing with special differential equations motivated by and intended for the applications.
Book Synopsis Asymptotics for Dissipative Nonlinear Equations by : Nakao Hayashi
Download or read book Asymptotics for Dissipative Nonlinear Equations written by Nakao Hayashi and published by Springer. This book was released on 2006-08-23 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book in world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others.
Book Synopsis Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations by : Valery V. Kozlov
Download or read book Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations written by Valery V. Kozlov and published by Springer Science & Business Media. This book was released on 2013-01-13 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is dedicated to the construction of particular solutions of systems of ordinary differential equations in the form of series that are analogous to those used in Lyapunov’s first method. A prominent place is given to asymptotic solutions that tend to an equilibrium position, especially in the strongly nonlinear case, where the existence of such solutions can’t be inferred on the basis of the first approximation alone. The book is illustrated with a large number of concrete examples of systems in which the presence of a particular solution of a certain class is related to special properties of the system’s dynamic behavior. It is a book for students and specialists who work with dynamical systems in the fields of mechanics, mathematics, and theoretical physics.
Book Synopsis Symbolic Asymptotics by : John R. Shackell
Download or read book Symbolic Asymptotics written by John R. Shackell and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible to anyone with a good general background in mathematics, but it nonetheless gets right to the cutting edge of active research. Some results appear here for the first time, while others have hitherto only been given in preprints.
Book Synopsis Asymptotic Behavior of Monodromy by : Carlos Simpson
Download or read book Asymptotic Behavior of Monodromy written by Carlos Simpson and published by Springer. This book was released on 2006-11-14 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concerns the question of how the solution of a system of ODE's varies when the differential equation varies. The goal is to give nonzero asymptotic expansions for the solution in terms of a parameter expressing how some coefficients go to infinity. A particular classof families of equations is considered, where the answer exhibits a new kind of behavior not seen in most work known until now. The techniques include Laplace transform and the method of stationary phase, and a combinatorial technique for estimating the contributions of terms in an infinite series expansion for the solution. Addressed primarily to researchers inalgebraic geometry, ordinary differential equations and complex analysis, the book will also be of interest to applied mathematicians working on asymptotics of singular perturbations and numerical solution of ODE's.
Book Synopsis Differential Equations And Asymptotic Theory In Mathematical Physics by : Hua Chen
Download or read book Differential Equations And Asymptotic Theory In Mathematical Physics written by Hua Chen and published by World Scientific. This book was released on 2004-10-18 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lecture notes volume encompasses four indispensable mini courses delivered at Wuhan University with each course containing the material from five one-hour lectures. Readers are brought up to date with exciting recent developments in the areas of asymptotic analysis, singular perturbations, orthogonal polynomials, and the application of Gevrey asymptotic expansion to holomorphic dynamical systems. The book also features important invited papers presented at the conference. Leading experts in the field cover a diverse range of topics from partial differential equations arising in cancer biology to transonic shock waves.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences
Book Synopsis Large-Time Behavior of Solutions of Linear Dispersive Equations by : Daniel B. Dix
Download or read book Large-Time Behavior of Solutions of Linear Dispersive Equations written by Daniel B. Dix and published by Springer. This book was released on 2006-11-13 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the large-time asymptotic behavior of solutions of the pure initial value problem for linear dispersive equations with constant coefficients and homogeneous symbols in one space dimension. Complete matched and uniformly-valid asymptotic expansions are obtained and sharp error estimates are proved. Using the method of steepest descent much new information on the regularity and spatial asymptotics of the solutions are also obtained. Applications to nonlinear dispersive equations are discussed. This monograph is intended for researchers and graduate students of partial differential equations. Familiarity with basic asymptotic, complex and Fourier analysis is assumed.
Book Synopsis Transseries and Real Differential Algebra by : Joris van der Hoeven
Download or read book Transseries and Real Differential Algebra written by Joris van der Hoeven and published by Springer Science & Business Media. This book was released on 2006-09-15 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. They are suitable for modeling "strongly monotonic" or "tame" asymptotic solutions to differential equations and find their origin in at least three different areas of mathematics: analysis, model theory and computer algebra. They play a crucial role in Écalle's proof of Dulac's conjecture, which is closely related to Hilbert's 16th problem. The aim of the present book is to give a detailed and self-contained exposition of the theory of transseries, in the hope of making it more accessible to non-specialists.
Author :Library of Congress. Copyright Office Publisher :Copyright Office, Library of Congress ISBN 13 : Total Pages :1040 pages Book Rating :4.F/5 ( download)
Book Synopsis Catalog of Copyright Entries. Third Series by : Library of Congress. Copyright Office
Download or read book Catalog of Copyright Entries. Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1973 with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Behavior of Solutions of Nonlinear Differential Equations by : Richard K. Miller
Download or read book Asymptotic Behavior of Solutions of Nonlinear Differential Equations written by Richard K. Miller and published by . This book was released on 1964 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Note on the Asymptotic Behavior of Solutions of Nonlinear Differential-equations by : Richard Bellman
Download or read book A Note on the Asymptotic Behavior of Solutions of Nonlinear Differential-equations written by Richard Bellman and published by . This book was released on 1969 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Asymptotic and Oscillatory Behaviour of Difference and Differential Equations by : Shuhui Wu
Download or read book The Asymptotic and Oscillatory Behaviour of Difference and Differential Equations written by Shuhui Wu and published by . This book was released on 2022-02-03 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Doctoral Thesis / Dissertation from the year 2009 in the subject Mathematics - Applied Mathematics, London Metropolitan University, language: English, abstract: This thesis deals with the asymptotic and oscillatory behaviour of the solutions of certain differential and difference equations. It mainly consists of three parts. The first part is to study the asymptotic behaviour of certain differential equations. The second part is to look for oscillatory criteria for certain nonlinear neutral differential equations. And the third part is to establish new criteria for a class of nonlinear neutral difference equations of any order with continuous variable and another type of higher even order nonlinear neutral difference equations to be oscillatory. A functional differential equation is a differential equation involving the values of the unknown functions at present, as well as at past or future time. The word "time" here stands for the independent variable. In the thesis, the concept of a functional differential equation is confined to ordinary differential equations, although it suits partial ones as well. Functional differential equations can be classified into four types according to their deviations: retarded, advanced, neutral and mixed. A neutral equation is one in which derivative of functionals of the past history and the present state are involved, but no future states occur in the equation. The order of a differential equation is the order of the highest derivative of the unknown function. A difference equation is a specific type of recurrence relation, which is an equation that defines a sequence recursively: each term of the sequence is defined as a function of the preceding terms. On the other hand, difference equations can be thought of as the discrete analogue of the corresponding differential equations. By analogy with differential equations, difference equations also can be classified into four types: delay, advanced, neutral, and mixed. The or
