Download or read book Reducibility of Systems of Linear Differential Equations written by Martha Beth Harris Porter and published by . This book was released on 1960 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Countable Systems of Differential Equations written by Anatolii M. Samoilenko and published by Walter de Gruyter. This book was released on 2011-07-11 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the solution of various problems in the theory of differential equations in the space "M" of bounded numerical sequences (called countable systems). In particular, the general theory of countable systems, the theory of oscillating solutions, and the theory of countable systems with pulse action are treated. Main attention is given to generalization of the results of numerous authors, obtained in recent years for finite-dimensional systems of different equations to the case of systems from the analysed class. The book contains the following four chapters: - General concepts of the theory of infinite systems of differential equations - Invariant tori - Reducibility of linear systems - Impulsive systems This book will be of value and interest to anyone working in this field of differential equations.
Download or read book On the Reducibility of Systems of Quasi periodic Linear Functional Differential Equations written by Paduma E. Samarawickrama-Kuruppuge and published by . This book was released on 2019 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: We address the two problems of the asymptotic reducibility of a system of quasi-periodic linear functional differential equations, namely analytic and smooth quasiperiodic systems extending the results of M.S. Bortei and V.I. Fodchuck [3] to the case of (possibly) complex eigenvalues. At the same time, we provide a simpler proof of the asymptotic reducibility that bypasses the method of accelerated convergence and it is instead based on more transparent KAM-type estimates.
Download or read book Reducibility of Discrete Systems Characterized by Linear Finite difference Equations written by Donald MacDonald Joyce and published by . This book was released on 1968 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability of Linear Systems Some Aspects of Kinematic Similarity written by Harris and published by Academic Press. This book was released on 1980-10-02 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability of Linear Systems: Some Aspects of Kinematic Similarity
Download or read book On the Reducibility of Certain Linear Differential Systems written by Michael Golomb and published by . This book was released on 1959 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reducible and Irreducible Linear Differential Equations written by Frederic Howell Miller and published by . This book was released on 1932 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients written by Yuri A. Mitropolsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equations or partial differential equations. This volume represents an important contribution to the available methods of solution for such systems. The contents are divided into six chapters. Chapter 1 presents a study of periodic solutions for nonlinear systems of evolution equations including differential equations with lag, systems of neutral type, various classes of nonlinear systems of integro-differential equations, etc. A numerical-analytic method for the investigation of periodic solutions of these evolution equations is presented. In Chapters 2 and 3, problems concerning the existence of periodic and quasiperiodic solutions for systems with lag are examined. For a nonlinear system with quasiperiodic coefficients and lag, the conditions under which quasiperiodic solutions exist are established. Chapter 4 is devoted to the study of invariant toroidal manifolds for various classes of systems of differential equations with quasiperiodic coefficients. Chapter 5 examines the problem concerning the reducibility of a linear system of difference equations with quasiperiodic coefficients to a linear system of difference equations with constant coefficients. Chapter 6 contains an investigation of invariant toroidal sets for systems of difference equations with quasiperiodic coefficients. For mathematicians whose work involves the study of oscillating systems.
Download or read book The Boundedness Stability and Reducibility of Linear Homogeneous Systems written by Max Robert Lund and published by . This book was released on 1965 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear systems of first order differential equations dX/dt = A(t)X, X(t sub 0) = C is considered, where C is a square, non-singular, constant matrix and A(t) is a square matrix of complex valued functions of the real argument t defined over some interval containing t sub 0. Three interdependent questions concerning these equations are discussed: (1) the boundedness of the matrix integral X(t), (2) the stability of the system, and (3) the exchange of the system for an equivalent system possessing a constant coefficient matrix. With regard to the last consideration, often called 'reducibility', four propositions by the Soviet mathematician V.A. Yakabovic are introduced. These results appear to be significant generalizations of the Lyapunov criterion concerning the reducibility of linear systems possessing periodic coefficient matrices. (Author).
Download or read book Dichotomies and Stability in Nonautonomous Linear Systems written by Yu. A. Mitropolsky and published by CRC Press. This book was released on 2002-10-10 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear nonautonomous equations arise as mathematical models in mechanics, chemistry, and biology. The investigation of bounded solutions to systems of differential equations involves some important and challenging problems of perturbation theory for invariant toroidal manifolds. This monograph is a detailed study of the application of Lyapunov functions with variable sign, expressed in quadratic forms, to the solution of this problem. The authors explore the preservation of invariant tori of dynamic systems under perturbation. This volume is a classic contribution to the literature on stability theory and provides a useful source of reference for postgraduates and researchers.
Download or read book Thirteen papers on differential equations written by V. M. Alekseev and published by American Mathematical Soc.. This book was released on 1970-12-31 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Almost Periodic Differential Equations written by A.M. Fink and published by Springer. This book was released on 2006-11-15 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thirteen papers on functional analysis and differential equations written by V. I. Arnol_d and published by American Mathematical Soc.. This book was released on 1968-12-31 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamical Systems written by Lamberto Cesari and published by Academic Press. This book was released on 2014-05-10 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical Systems: An International Symposium, Volume 1 contains the proceedings of the International Symposium on Dynamical Systemsheld at Brown University in Providence, Rhode Island, on August 12-16, 1974. The symposium provided a forum for reviewing the theory of dynamical systems in relation to ordinary and functional differential equations, as well as the influence of this approach and the techniques of ordinary differential equations on research concerning certain types of partial differential equations and evolutionary equations in general. Comprised of 29 chapters, this volume begins with an introduction to some aspects of the qualitative theory of differential equations, followed by a discussion on the Lefschetz fixed-point formula. Nonlinear oscillations in the frame of alternative methods are then examined, along with topology and nonlinear boundary value problems. Subsequent chapters focus on bifurcation theory; evolution governed by accretive operators; topological dynamics and its relation to integral equations and non-autonomous systems; and non-controllability of linear time-invariant systems using multiple one-dimensional linear delay feedbacks. The book concludes with a description of sufficient conditions for a relaxed optimal control problem. This monograph will be of interest to students and practitioners in the field of applied mathematics.
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 Elements of the Mathematical Theory of Multi Frequency Oscillations written by Anatolii M. Samoilenko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
