Existence Theorems For Ordinary Differential Equations

Author : Francis J. Murray
Publisher : Courier Corporation
ISBN 13 : 0486154955
Total Pages : 178 pages
Book Rating : 4.54/5 ( download)

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Download or read book Existence Theorems for Ordinary Differential Equations written by Francis J. Murray and published by Courier Corporation. This book was released on 2013-11-07 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text examines fundamental and general existence theorems, along with uniqueness theorems and Picard iterants, and applies them to properties of solutions and linear differential equations. 1954 edition.

Author :
Publisher :
ISBN 13 :
Total Pages : 153 pages
Book Rating : 4.44/5 ( download)

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Download or read book Existence theorems for ordinary differential equations written by and published by . This book was released on 1954 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Francis Joseph Murray
Publisher : Krieger Publishing Company
ISBN 13 : 9780882753201
Total Pages : 154 pages
Book Rating : 4.07/5 ( download)

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Download or read book Existence Theorems for Ordinary Differential Equations written by Francis Joseph Murray and published by Krieger Publishing Company. This book was released on 1976 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Dorothy L. Bernstein
Publisher : Princeton University Press
ISBN 13 : 0691095809
Total Pages : 244 pages
Book Rating : 4.06/5 ( download)

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Download or read book Existence Theorems in Partial Differential Equations written by Dorothy L. Bernstein and published by Princeton University Press. This book was released on 1951-01-20 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic treatment of existence theorems in partial differential equations from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

Author : Cullen Squaere Hodge
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.83/5 ( download)

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Download or read book Existence Theorems for Ordinary Differential Equations written by Cullen Squaere Hodge and published by . This book was released on 1950 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "The general solution of the first order linear differential equation, F(x, y, y0́9) = 0 (1.1.1), is an equation connecting x, y and an arbitrary constant. We assume P to be a single-valued function throughout some domain and that y is a differentiable function of x. Under certain conditions (Goursat 5, Chap. 2) we may write 1.1.1 in the form, y0́9 = f(x, y) (1.1.2), where f(x, y) is continuous (simultaneously) in x and y in a domain S." --

Author : Donal O'Regan
Publisher : Springer Science & Business Media
ISBN 13 : 9401715173
Total Pages : 207 pages
Book Rating : 4.71/5 ( download)

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Download or read book Existence Theory for Nonlinear Ordinary Differential Equations written by Donal O'Regan and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems. This problem is relatively easy to treat, illustrates important methods, and in the end will carry us a good deal further than may first meet the eye. Thus, we seek solutions to Y'. = I(t,y) (1. 1 ) { yeO) = r n where I: I X R n ---+ R and I = [0, b]. We shall seek solutions that are de fined either locally or globally on I, according to the assumptions imposed on I. Notice that (1. 1) is a system of first order equations because I takes its values in Rn. In section 3. 2 we will first establish some basic existence theorems which guarantee that a solution to (1. 1) exists for t > 0 and near zero. Familiar examples show that the interval of existence can be arbi trarily short, depending on the initial value r and the nonlinear behaviour of I. As a result we will also examine in section 3. 2 the dependence of the interval of existence on I and r. We mention in passing that, in the results which follow, the interval I can be replaced by any bounded interval and the initial value can be specified at any point in I. The reasoning needed to cover this slightly more general situation requires minor modifications on the arguments given here.

Author : Po-Fang Hsieh
Publisher : Springer Science & Business Media
ISBN 13 : 1461215064
Total Pages : 480 pages
Book Rating : 4.66/5 ( download)

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Download or read book Basic Theory of Ordinary Differential Equations written by Po-Fang Hsieh and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing readers with the very basic knowledge necessary to begin research on differential equations with professional ability, the selection of topics here covers the methods and results that are applicable in a variety of different fields. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, while the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history, and hints and comments for many problems are given throughout. With 114 illustrations and 206 exercises, the book is suitable for a one-year graduate course, as well as a reference book for research mathematicians.

Author : Henry Walthier
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.91/5 ( download)

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Download or read book Existence Theorems in Ordinary Differential Equations written by Henry Walthier and published by . This book was released on 1932 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : George Mikelbank
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.90/5 ( download)

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Download or read book Existence Theorems in Ordinary Differential Equations written by George Mikelbank and published by . This book was released on 1931 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : William Marvin Whyburn
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.72/5 ( download)

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Download or read book Existence Theorems for Ordinary Differential Equations written by William Marvin Whyburn and published by . This book was released on 1935 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: