Qualitative properties of differential equations
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Qualitative properties of differential equations proceeding of the 1984 Edmonton conference by

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Published by University of Alberta in [Edmonton, Alta .
Written in English

Subjects:

  • Differential equations -- Numerical solutions -- Congresses

Book details:

Edition Notes

Statementedited by W. Allegretto and G.J. Butler.
ContributionsAllegretto, W., Butler, G. J. 1944-1986., International Conference on the Qualitative Theory of Differential Equations (1984 : Edmonton, Alta.)
Classifications
LC ClassificationsQA370 .Q35x 1987
The Physical Object
Paginationxii, 402 p. :
Number of Pages402
ID Numbers
Open LibraryOL2114950M
LC Control Number88170223

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The Qualitative Theory of Ordinary Differential Equations: An Introduction (Dover Books on Mathematics) Reprint Edition. Find all the books, read about the author, and by: From the Back Cover. This book provides a complete analysis of those subjects that are of fundamental importance to the qualitative theory of differential equations and related to current research—including details that other books in the field tend to overlook. Chapters 1—7 cover the basic qualitative properties concerning existence and uniqueness, Format: Hardcover. 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 Poincaré-Bendixson by:   This textbook provides a comprehensive introduction to the qualitative theory of ordinary differential equations. It includes a discussion of the existence and uniqueness of solutions, phase portraits, linear equations, stability theory, hyperbolicity and equations in the plane.

It includes a discussion of the existence and uniqueness of solutions, phase portraits, linear equations, stability theory, hyperbolicity and equations in the plane. The emphasis is primarily on results and methods that allow one to analyze qualitative properties of the solutions without solving the equations . This book focuses on qualitative theories in structural mechanics and reveals the qualitative properties of static deformation and vibrational modes associated with the continuous systems of repetitive structures by applying the theory of differential equations. In the elementary theory of qualitative differential equations we identify three main types of behavior at a nondegenerate singular point: a node, a focus, or a saddle. All three are stable, in that a small perturbation will not change the stability of the singular point. Introduction. The study of qualitative behaviors of solutions, asymptotic behavior, stability, instability, boundedness, convergence, square integrability, etc., to differential equations of second order seems to be an important problem of the qualitative differential equations theory and has both theoretical and practical values in the by: 5.

Almost all other equations contain one or more arbitrary parameters (i.e., in fact, this book deals with whole families of ordinary differential equations), which can be fixed by the reader at will. Six research articles reflecting modern trends and advances in differential equations have been selected for this special issue. The paper by K. L. Cheung and S. Wong is concerned with the analysis of the blowup phenomenon in the initial-boundary value problem for N -dimensional Euler equations with spherical : Tongxing Li, Martin Bohner, Tuncay Candan, Yuriy V. Rogovchenko, Qi-Ru Wang. used textbook “Elementary differential equations and boundary value problems” by Boyce & DiPrima (John Wiley & Sons, Inc., Seventh Edition, c ). Many of the examples presented in these notes may be found in this book. The material of Chapter 7 is adapted from the textbook “Nonlinear dynamics and chaos” by Steven. This book covers the following topics: Geometry and a Linear Function, Fredholm Alternative Theorems, Separable Kernels, The Kernel is Small, Ordinary Differential Equations, Differential Operators and Their Adjoints, G(x,t) in the First and Second Alternative and Partial Differential Equations.