A Survey of the Theory of the Boundedness, Stability, and Asymptotic Behavior of Solutions of Linear and Non-linear Differential and Difference Equations

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ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis A Survey of the Theory of the Boundedness, Stability, and Asymptotic Behavior of Solutions of Linear and Non-linear Differential and Difference Equations by : Richard Bellman

Download or read book A Survey of the Theory of the Boundedness, Stability, and Asymptotic Behavior of Solutions of Linear and Non-linear Differential and Difference Equations written by Richard Bellman and published by . This book was released on 1949 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ordinary Differential Equations in the Complex Domain

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Publisher : Courier Corporation
ISBN 13 : 9780486696201
Total Pages : 514 pages
Book Rating : 4.6/5 (962 download)

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Book Synopsis Ordinary Differential Equations in the Complex Domain by : Einar Hille

Download or read book Ordinary Differential Equations in the Complex Domain written by Einar Hille and published by Courier Corporation. This book was released on 1997-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography.

Stability Theory of Differential Equations

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Publisher : Courier Corporation
ISBN 13 : 0486150135
Total Pages : 178 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Stability Theory of Differential Equations by : Richard Bellman

Download or read book Stability Theory of Differential Equations written by Richard Bellman and published by Courier Corporation. This book was released on 2013-02-20 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduates and graduate students, this was the first English-language text to offer detailed coverage of boundedness, stability, and asymptotic behavior of linear and nonlinear differential equations. It remains a classic guide, featuring material from original research papers, including the author's own studies. The linear equation with constant and almost-constant coefficients receives in-depth attention that includes aspects of matrix theory. No previous acquaintance with the theory is necessary, since author Richard Bellman derives the results in matrix theory from the beginning. In regard to the stability of nonlinear systems, results of the linear theory are used to drive the results of Poincaré and Liapounoff. Professor Bellman then surveys important results concerning the boundedness, stability, and asymptotic behavior of second-order linear differential equations. The final chapters explore significant nonlinear differential equations whose solutions may be completely described in terms of asymptotic behavior. Only real solutions of real equations are considered, and the treatment emphasizes the behavior of these solutions as the independent variable increases without limit.

Boundedness and Periodicity of Solutions of the Generalized Li©Øenard Equation

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ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Boundedness and Periodicity of Solutions of the Generalized Li©Øenard Equation by : W. R. Utz

Download or read book Boundedness and Periodicity of Solutions of the Generalized Li©Øenard Equation written by W. R. Utz and published by . This book was released on 1956 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Qualitative Methods in Mathematical Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 0821815628
Total Pages : 262 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Qualitative Methods in Mathematical Analysis by : Lev Ėrnestovich Ėlʹsgolʹt͡s

Download or read book Qualitative Methods in Mathematical Analysis written by Lev Ėrnestovich Ėlʹsgolʹt͡s and published by American Mathematical Soc.. This book was released on 1964 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Existence Theorems for Ordinary Differential Equations

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Publisher : Courier Corporation
ISBN 13 : 0486154955
Total Pages : 178 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Existence Theorems for Ordinary Differential Equations by : Francis J. Murray

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.

Qualitative Methods in Mathematical Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821886465
Total Pages : 264 pages
Book Rating : 4.8/5 (864 download)

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Book Synopsis Qualitative Methods in Mathematical Analysis by : Lev Ėrnestovich Ėlʹsgolʹt͡s

Download or read book Qualitative Methods in Mathematical Analysis written by Lev Ėrnestovich Ėlʹsgolʹt͡s and published by American Mathematical Soc.. This book was released on 1964 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations

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Publisher : Academic Press
ISBN 13 : 0080955649
Total Pages : 335 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations by : Lakshmikantham

Download or read book Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations written by Lakshmikantham and published by Academic Press. This book was released on 1969 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations

Bibliography of Technical Reports

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ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bibliography of Technical Reports by :

Download or read book Bibliography of Technical Reports written by and published by . This book was released on 1953 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Mathematics for the Engineer: First Series

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Publisher : Courier Corporation
ISBN 13 : 0486316114
Total Pages : 545 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Modern Mathematics for the Engineer: First Series by : Edwin F. Beckenbach

Download or read book Modern Mathematics for the Engineer: First Series written by Edwin F. Beckenbach and published by Courier Corporation. This book was released on 2013-09-03 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume and its successor focus on material relevant to solving mathematical problems regularly confronted by engineers. Volume One's three-part treatment covers mathematical models, probabilistic problems, and computational considerations. 1956 edition.

The Analysis of Nonlinear Feedback Sampled-data Systems

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ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.:/5 (29 download)

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Book Synopsis The Analysis of Nonlinear Feedback Sampled-data Systems by : Mangalore Anantha Pai

Download or read book The Analysis of Nonlinear Feedback Sampled-data Systems written by Mangalore Anantha Pai and published by . This book was released on 1961 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Various techniques are available for the analysis of nonlinear sampled-data systems. Most of these methods use either the phase plane approach or the describing function technique. Since the performance of such a system is described, at sampling instants, by means of a difference equation, an approach based on the difference equation would seem to be both natural and direct. The principle of complex convolution for a transform is explained and its geometrical interpretation is given. It is shown how the application of the convolution transform is both direct and simple with respect to solving nonlinear difference equations when the equation is given in scalar form. Dependence of the convergence of the solution on the initial value and the degree of nonlinearity is pointed out. It is concluded that for difference equations of second order and higher, this method involves too much laborious computation to justify its use. A simple method is presented for examining free oscillations in a sampled-data system containing either relay or a saturating amplifier. In addition, a certain analytical technique, analogous to that for differential equations, is developed to investigate the stability of forced oscillations for certain types of nonlinear difference equations. (Author).

A Survey of the Theory of the Boundedness, Stability and Aasymptotic Behavior of Solutions of Linear and Non-linear Differential and Differences Equations

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ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis A Survey of the Theory of the Boundedness, Stability and Aasymptotic Behavior of Solutions of Linear and Non-linear Differential and Differences Equations by : Richard Bellman

Download or read book A Survey of the Theory of the Boundedness, Stability and Aasymptotic Behavior of Solutions of Linear and Non-linear Differential and Differences Equations written by Richard Bellman and published by . This book was released on 1949 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

United States Government Publications Monthly Catalog

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ISBN 13 :
Total Pages : 1596 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis United States Government Publications Monthly Catalog by :

Download or read book United States Government Publications Monthly Catalog written by and published by . This book was released on 1950 with total page 1596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-Linear Differential Equations

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Publisher : Elsevier
ISBN 13 : 1483135969
Total Pages : 553 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Non-Linear Differential Equations by : G. Sansone

Download or read book Non-Linear Differential Equations written by G. Sansone and published by Elsevier. This book was released on 2016-06-06 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series of Monographs in Pure and Applied Mathematics, Volume 67: Non-Linear Differential Equations, Revised Edition focuses on the analysis of the phase portrait of two-dimensional autonomous systems; qualitative methods used in finding periodic solutions in periodic systems; and study of asymptotic properties. The book first discusses general theorems about solutions of differential systems. Periodic solutions, autonomous systems, and integral curves are explained. The text explains the singularities of Briot-Bouquet theory. The selection takes a look at plane autonomous systems. Topics include limiting sets, plane cycles, isolated singular points, index, and the torus as phase space. The text also examines autonomous plane systems with perturbations and autonomous and non-autonomous systems with one degree of freedom. The book also tackles linear systems. Reducible systems, periodic solutions, and linear periodic systems are considered. The book is a vital source of information for readers interested in applied mathematics.

Mathematics in Science and Engineering

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ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Mathematics in Science and Engineering by :

Download or read book Mathematics in Science and Engineering written by and published by . This book was released on 1969 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Selection in One- and Two-Locus Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642930611
Total Pages : 216 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Selection in One- and Two-Locus Systems by : T. Nagylaki

Download or read book Selection in One- and Two-Locus Systems written by T. Nagylaki and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of these notes were presented as part of a two-quarter course on theoretical population genetics at The University of Chicago. Almost all the students were either undergraduates in mathematics or graduate students in the biological sciences. The only prerequisites were calculus and matrices. As is done in these notes, biological background and additional mathematical techniques were covered when they were required. I have included the relevant problems assigned in the course. My aim in these notes is to formulate the various models fairly generally, making the biological assumptions quite explicit, and to perform the analyses relatively rigorously. I hope the choice and treatment of topics will enable the reader to understand and evaluate detailed analyses of specific models and applications in the literature. No attempt has been made to review the literature or to assign credit. Most of the references are to papers directly germane to the subjects and approaches covered here. Frequency of reference is not intended to reflect proportionate contribution. I am very grateful to Professor James F. Crow for helpful comments and to Mrs. Adelaide Jaffe for her excellent typing. I thank the National Science Foundation for its support (Grant No. DEB76-01550).

Differential and Integral Inequalities: Theory and Applications

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Publisher : Academic Press
ISBN 13 : 0080955630
Total Pages : 405 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Differential and Integral Inequalities: Theory and Applications by : V. Lakshmikantham

Download or read book Differential and Integral Inequalities: Theory and Applications written by V. Lakshmikantham and published by Academic Press. This book was released on 1969 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the first part of a monograph on theory and applications of differential and integral inequalities. 'The entire work, as a whole, is intended to be a research monograph, a guide to the literature, and a textbook for advanced courses. The unifying theme of this treatment is a systematic development of the theory and applicationsof differential inequalities as well as Volterra integral inequalities. The main tools for applications are the norm and the Lyapunov functions. Familiarity with real and complex analysis, elements of general topology and functional analysis, and differential and integral equations is assumed.