6 edition of Nonlinear differential equations found in the catalog.
|Statement||J.K. Hale & P. Martinez-Amores, editors.|
|Contributions||Hale, Jack K., Martinez-Amores, P.|
|LC Classifications||QA377 .N64 1985|
|The Physical Object|
|LC Control Number||85012271|
Nonlinear Stochastic Operator Equations deals with realistic solutions of the nonlinear stochastic equations arising from the modeling of frontier problems in many fields of science. This book also discusses a wide class of equations to provide modeling of problems concerning physics, engineering, operations research, systems analysis, biology. The differential equations we consider in most of the book are of the form Y′(t) = f(t,Y(t)), where Y(t) is an unknown function that is being sought. The given function f(t,y) of two variables deﬁnes the differential equation, and exam ples are given in Chapter 1. This equation is called a ﬁrst-order differential equation because it File Size: 1MB.
Nonlinear algebraic equations, which are also called polynomial equations, are defined by equating polynomials (of degree greater than one) to zero. For example, + −. For a single polynomial equation, root-finding algorithms can be used to find solutions to the equation (i.e., sets of values for the variables that satisfy the equation). However, systems of algebraic equations . The book proposes for the first time a generalized order operational matrix of Haar wavelets, as well as new techniques (MFRDTM and CFRDTM) for solving fractional differential equations. Numerical methods used to solve stochastic point kinetic equations, like the Wiener process, Euler–Maruyama, and order strong Taylor methods, are also.
Differential Equations is a collection of papers from the "Eight Fall Conference on Differential Equations" held at Oklahoma State University in October The papers discuss hyperbolic problems, bifurcation function, boundary value problems for Lipschitz equations, and the periodic solutions of systems of ordinary differential equations. Nonlinear Analysis and Diﬀerential Equations An Introduction Klaus Schmitt Department of Mathematics University of Utah Russell C. Thompson Department of Mathematics and Statistics Utah State University Novem
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In addition to Nonlinear Differential Equations, he was the author of over 70 articles published in the mathematical literature. Nonlinear Differential Equations is a widely referenced text and was translated into several foreign : Raimond A. Struble. On the subject of differential equations many elementary books have been written.
This book bridges the gap between elementary courses and research literature. The basic concepts necessary to study differential equations - critical points and equilibrium, periodic solutions, invariant sets and invariant manifolds - are discussed by: This book contains a superb treatment of the classical theories of nonlinear equations including integral equations of the Volterra type.
It was written inwhen the use of computers to solve differential equations and dynamical systems was in its infancy and the book is Cited by: Nonlinear Ordinary Differential Equations: Problems and Solutions: A Sourcebook for Scientists and Engineers (Oxford Texts in Applied and Engineering Mathematics) Find all the books, read about the author, and by: This is a superb book for both students, scientists and engineers, who wish to expand their programming skills and enhance their facility with the Maple and Mathematica symbolic languages, while developing practical, quantitative solutions of nonlinear partial differential equations to simulate real-world by: “Nonlinear problems in science and engineering are often modeled by nonlinear ordinary differential equations (ODEs) and this book comprises a well-chosen selection of analytical and numerical methods of solving such equations.
the writing style is appropriate for a textbook for graduate students. A practical introduction to nonlinear PDEs and their real-world applications Now in a Second Edition, this popular book on nonlinear partial differential equations (PDEs) contains expanded coverage on the central topics of applied mathematics in an elementary, highly readable format and is accessible to students and researchers in the field of pure and applied.
The differential equations that describe multiphase flow are simultaneous, highly nonlinear partial differential equations. The numerical procedures for solving these equations have evolved from methods developed for linear parabolic and elliptic differential equations.
In many cases of practical interest. The book developed from courses on nonlinear differential equations given over many years in the Mathematics Department of Keele University. It presents an introduction to dynamical systems in the context of ordinary differential equations, and is intended for students of mathe-File Size: 6MB.
Nonlinear Differential Equations and The Beauty of Chaos 2 Examples of nonlinear equations 2 () kx t dt d x t m =− Simple harmonic oscillator (linear ODE) More complicated motion (nonlinear ODE) ()(1 ()) 2 () kx t x t dt d x t m =− −α Other examples: weather patters, the turbulent motion of fluids Most natural phenomena are File Size: KB.
Purchase Nonlinear Differential Equations - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1. Differential Equations Books: Introduction to Ordinary and Partial Differential Equations Second-order odes, constant coefficients, The Laplace transform, Series solutions, Systems of equations, Nonlinear differential equations, Partial differential equations.
Numerical Solution of Differential Equations University of Oxford Online. This book contains more than 1, nonlinear mathematical physics equations and non- linear partial differential equations and their solutions. A large number of ne w exact so. Nonlinear Differential Equations: Invariance, Stability, and Bifurcation presents the developments in the qualitative theory of nonlinear differential equations.
This book discusses the exchange of mathematical ideas in stability and bifurcation theory. Organized into 26 chapters, this book begins with an overview of the initial value problem. This concise and widely referenced monograph has been used by generations of advanced undergraduate math majors and graduate students.
After discussing some mathematical preliminaries, the author presents detailed treatments of the existence and the uniqueness of a solution of the initial value problem, properties of solutions, properties of linear systems. The aim of this book is to put together all the results that are known about the existence of formal, holomorphic and singular solutions of singular non linear partial differential equations.
We study the existence of formal power series solutions, holomorphic solutions, and singular solutions of singular non linear partial differential equations.
phase-plane analysis describes nonlinear phenomena such as limit cycles and multiple equilibria of second-order systems in an efﬁcient manner. The theory of differential equations has led to a highly developed stability theory for some classes of nonlinear systems.
(Though, of course, an engineer cannot live by stability alone.) Functional. The book covers several topics of current interest in the field of nonlinear partial differential equations and their applications to the physics of continuous media and particle interactions.
It treats the quasigeostrophic equation, integral diffusions, periodic Lorentz gas, Boltzmann equation, and critical dispersive nonlinear Schrödinger. Purchase Nonlinear Differential Equations, Volume 2 - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1.
Non-Linear Differential Equations covers the general theorems, principles, solutions, and applications of non-linear differential equations. This book is divided into nine chapters. The first chapters contain detailed analysis of the phase portrait of two-dimensional autonomous systems.
An ordinary differential equation (ode) is a differential equation for a function of a single variable, e.g., x(t), while a partial dif- ferential equation (pde) is a differential equation for a function of several variables, e.g., v(x,y,z,t).
An ode contains ordinary derivatives and a pde contains partial derivatives. In addition to Nonlinear Differential Equations, he was the author of over 70 articles published in the mathematical literature. Nonlinear Differential Equations is a widely referenced text and was translated into several foreign : SolvingnonlinearODEandPDE problems HansPetterLangtangen1,2 1Center for Biomedical Computing, Simula Research Laboratory 2Department of Informatics, University of Oslo nonlinear algebraic equations at a given time level.
The notation is inspired by the natural notation (i.e., variable names) used in a program, especiallyFile Size: KB.