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:
Download or read book Introduction to the Theory and Application of Differential Equations with Deviating Arguments written by L.E. El'sgol'ts and published by Academic Press. This book was released on 1973-11-02 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Theory and Application of Differential Equations with Deviating Arguments 2nd edition is a revised and substantially expanded edition of the well-known book of L. E. El’sgol’ts published under this same title by Nauka in 1964. Extensions of the theory of differential equations with deviating argument as well as the stimuli of developments within various fields of science and technology contribute to the need for a new edition. This theory in recent years has attracted the attention of vast numbers of researchers, interested both in the theory and its applications. The development of the foundations of the theory of differential equations with a deviating argument is still far from complete. This situation, of course, leaves its mark on our suggestions to the reader of the book and prevents as orderly and systematic a presentation as is usual for mathematical literature. However, it is hoped that in spite of these deficiencies the book will prove useful as a first acquaintanceship with the theory of differential equations with a deviating argument.
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:
Download or read book Asymptotic Behavior and Stability Problems in Ordinary Differential Equations written by Lamberto Cesari and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 282 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.
Download or read book Time Lag Control Systems written by Og?uzto?reli and published by Academic Press. This book was released on 1966-01-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-Lag Control Systems
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.
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.
Download or read book Boundedness and Periodicity of Solutions of the Generalized Li enard 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:
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 389 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 applications of 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.
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:
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.
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:
Download or read book Advances in Applied Mechanics written by and published by Academic Press. This book was released on 1953-01-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Applied Mechanics
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:
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 544 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.
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).
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:
