Download or read book Qualitative Theory of Differential Equations written by V. V. Nemytskii and published by Courier Corporation. This book was released on 1989-01-01 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level text considers existence and continuity theorems, integral curves of a system of 2 differential equations, systems of n-differential equations, general theory of dynamical systems, systems with an integral invariant, more. 1960 edition.
Download or read book Qualitative Theory of Differential Equations written by Viktor Vladimirovich Nemytskii and published by Princeton University Press. This book was released on 2015-12-08 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Book 22 in the Princeton Mathematical Series. Originally published in 1960. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Download or read book Qualitative theory of differential equations by V V Nemytskii and V V Stepanov written by Viktor Vladimirovich Nemyt︠s︡kiĭ and published by . This book was released on with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Qualitative Theory of Differential Equations written by Viktor Vladimirovich Nemyt︠s︡kiĭ and published by . This book was released on 1947 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Qualitative Theory of Differential Equations written by Zhifen Zhang and published by American Mathematical Soc.. This book was released on 1992 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Subriemannian geometries, also known as Carnot-Caratheodory geometries, can be viewed as limits of Riemannian geometries. They also arise in physical phenomenon involving ``geometric phases'' or holonomy. Very roughly speaking, a subriemannian geometry consists of a manifold endowed with a distribution (meaning a $k$-plane field, or subbundle of the tangent bundle), called horizontal together with an inner product on that distribution. If $k=n$, the dimension of the manifold, we get the usual Riemannian geometry. Given a subriemannian geometry, we can define the distance between two points just as in the Riemannian case, except we are only allowed to travel along the horizontal lines between two points. The book is devoted to the study of subriemannian geometries, their geodesics, and their applications. It starts with the simplest nontrivial example of a subriemannian geometry: the two-dimensional isoperimetric problem reformulated as a problem of finding subriemannian geodesics. Among topics discussed in other chapters of the first part of the book the author mentions an elementary exposition of Gromov's surprising idea to use subriemannian geometry for proving a theorem in discrete group theory and Cartan's method of equivalence applied to the problem of understanding invariants (diffeomorphism types) of distributions. There is also a chapter devoted to open problems. The second part of the book is devoted to applications of subriemannian geometry. In particular, the author describes in detail the following four physical problems: Berry's phase in quantum mechanics, the problem of a falling cat righting herself, that of a microorganism swimming, and a phase problem arising in the $N$-body problem. He shows that all these problems can be studied using the same underlying type of subriemannian geometry: that of a principal bundle endowed with $G$-invariant metrics. Reading the book requires introductory knowledge of differential geometry, and it can serve as a good introduction to this new, exciting area of mathematics. This book provides an introduction to and a comprehensive study of the qualitative theory of ordinary differential equations. It begins with fundamental theorems on existence, uniqueness, and initial conditions, and discusses basic principles in dynamical systems and Poincare-Bendixson theory. The authors present a careful analysis of solutions near critical points of linear and nonlinear planar systems and discuss indices of planar critical points. A very thorough study of limit cycles is given, including many results on quadratic systems and recent developments in China. Other topics included are: the critical point at infinity, harmonic solutions for periodic differential equations, systems of ordinary differential equations on the torus, and structural stability for systems on two-dimensional manifolds. This books is accessible to graduate students and advanced undergraduates and is also of interest to researchers in this area. Exercises are included at the end of each chapter.
Download or read book The Qualitative Theory of Ordinary Differential Equations written by Fred Brauer and published by Courier Corporation. This book was released on 1989-01-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is a very good book ... with many well-chosen examples and illustrations." — American Mathematical Monthly This highly regarded text presents a self-contained introduction to some important aspects of modern qualitative theory for ordinary differential equations. It is accessible to any student of physical sciences, mathematics or engineering who has a good knowledge of calculus and of the elements of linear algebra. In addition, algebraic results are stated as needed; the less familiar ones are proved either in the text or in appendixes. The topics covered in the first three chapters are the standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. The next three chapters, the heart of the book, deal with stability theory and some applications, such as oscillation phenomena, self-excited oscillations and the regulator problem of Lurie. One of the special features of this work is its abundance of exercises-routine computations, completions of mathematical arguments, extensions of theorems and applications to physical problems. Moreover, they are found in the body of the text where they naturally occur, offering students substantial aid in understanding the ideas and concepts discussed. The level is intended for students ranging from juniors to first-year graduate students in mathematics, physics or engineering; however, the book is also ideal for a one-semester undergraduate course in ordinary differential equations, or for engineers in need of a course in state space methods.
Download or read book Global Attractors Of Non autonomous Dynamical And Control Systems 2nd Edition written by Cheban David N and published by World Scientific. This book was released on 2014-12-15 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact attractor. From an in-depth introduction to the different types of dissipativity and attraction, the book takes a comprehensive look at the connections between them, and critically discusses applications of general results to different classes of differential equations.The new Chapters 15-17 added to this edition include some results concerning Control Dynamical Systems — the global attractors, asymptotic stability of switched systems, absolute asymptotic stability of differential/difference equations and inclusions — published in the works of author in recent years.
Download or read book The Qualitative Theory of Ordinary Differential Equations written by Fred Brauer and published by Courier Corporation. This book was released on 2012-12-11 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises.
Download or read book Modern Elementary Differential Equations written by Richard Bellman and published by Courier Corporation. This book was released on 1995-01-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to introduce students to the theory and applications of differential equations and to help them formulate scientific problems in terms of such equations, this undergraduate-level text emphasizes applications to problems in biology, economics, engineering, and physics. This edition also includes material on discontinuous solutions, Riccati and Euler equations, and linear difference equations.
Download or read book Lectures on Partial Differential Equations written by Ivan Georgievich Petrovski? and published by Courier Corporation. This book was released on 1991-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.
Download or read book A Treatise on Differential Equations written by Andrew Russell Forsyth and published by Courier Corporation. This book was released on 1996-01-01 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sixth edition (1928) of the 19th-century classic covers differential equations of the 1st order, general linear equations with constant coefficients, integration in series, much more. Over 800 examples.
Download or read book Ordinary Differential Equations written by Jack K. Hale and published by Courier Corporation. This book was released on 2009-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This rigorous treatment prepares readers for the study of differential equations and shows them how to research current literature. It emphasizes nonlinear problems and specific analytical methods. 1969 edition.
Download or read book Introduction to Partial Differential Equations with Applications written by E. C. Zachmanoglou and published by Courier Corporation. This book was released on 2012-04-20 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
Download or read book Hilbert Space Methods in Partial Differential Equations written by Ralph E. Showalter and published by Courier Corporation. This book was released on 2011-09-12 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.
Download or read book Ordinary Differential Equations written by Morris Tenenbaum and published by Courier Corporation. This book was released on 1985-10-01 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.
Download or read book Differential Equations with Applications written by Paul D. Ritger and published by Courier Corporation. This book was released on 2000-01-01 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coherent, balanced introductory text focuses on initial- and boundary-value problems, general properties of linear equations, and the differences between linear and nonlinear systems. Includes large number of illustrative examples worked out in detail and extensive sets of problems. Answers or hints to most problems appear at end.
Download or read book Partial Differential Equations for Scientists and Engineers written by Stanley J. Farlow and published by Courier Corporation. This book was released on 1993-01-01 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly useful text shows the reader how to formulate a partial differential equation from the physical problem and how to solve the equation.
