2 edition of **Nonlinear difference equations** found in the catalog.

Nonlinear difference equations

Hassan Sedaghat

- 397 Want to read
- 27 Currently reading

Published
**2003** by Kluwer Academic Publishers in Dordrecht, Boston .

Written in English

- Nonlinear difference equations.,
- Social sciences -- Mathematics.

**Edition Notes**

Includes bibliographical references (p. 367-383) and index.

Statement | by Hassan Sedaghat. |

Series | Mathematical modelling--theory and applications -- v. 15 |

Classifications | |
---|---|

LC Classifications | QA431 .S39 2003 |

The Physical Object | |

Pagination | xv, 388 p. : |

Number of Pages | 388 |

ID Numbers | |

Open Library | OL21801571M |

ISBN 10 | 1402011164 |

LC Control Number | 2002043295 |

Observe the nonlinear differential equation. Although the nonlinear differential equation is not in a form suitable for design of a cruise control, there are some interesting observations that can be made. This understanding also helps with the linearizing process. When the vehicle is on the flat (θ = 0) and at the maximum throttle value of 1. Prior to joining the faculty of Polytechnic University, he was a Senior Weizmann Fellow at the Weizmann Institute of Science. His research interests include applied mathematics and nonlinear wave propagation, as well as perturbation and asymptotic solutions of partial differential equations.

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Difference and Functional Equations *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and does not include ownership of the ebook.

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 mathematics.

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 : Springer-Verlag Berlin Heidelberg.

“The authors consider the problem of constructing closed-form and approximate solutions to nonlinear partial differential equations with the help of computer algebra systems.

The book will be useful for readers who want to try modern methods for solving nonlinear partial differential equations on concrete examples without bothering too much about the Cited by: Special emphasis is placed on linear and nonlinear equations in function spaces and on general methods of solving different types of such equations.

Above all, this book is practical. It reviews the variety of existing types of equations and Author: Thomas L. Saaty, Mathematics. Book Description. Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications.

Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of difference equations. Purchase Difference Equations - 2nd Edition. Print Book & E-Book. ISBNBook Edition: 2. success in specializing the structure of nonlinear differential equations in a proﬁtable way.

It was shown that bilinear state equations were amenable to analysis using many of the tools associated with linear state equations. In addition, the Volterra/Wiener representation corresponding to bilinear state equations turned out to be remarkably simple.

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.

fractions and factors; the main rules of arithmetic; linear equations in the coordinate plane, expressions, equations and functions; real numbers; solving linear equations; visualizing linear functions, linear equations, linear inequalities, systems of linear equations and inequalities; exponents and exponential function; polynomials, quadratic equations, radical expression, radical equations.

Nonlinear System Analysis focuses on the study of systems whose behavior is governed by nonlinear differential equations. This book is composed of nine chapters that cover some problems that play a major role in engineering and physics.

The opening chapter briefly introduces the difference between linear and nonlinear systems. Nonlinear Partial Differential Equations: A Symposium on Methods of Solution is a collection of papers presented at the seminar on methods of solution for nonlinear partial differential equations, held at the University of Delaware, Newark, Delaware on December Purchase Nonlinear Differential Equations - 1st Edition.

Print Book & E-Book. ISBNBook Edition: 1. To date, however, we still know surprisingly little about higher-order nonlinear difference equations. During the last ten years, the authors of this book have been fascinated with discovering periodicities in equations of higher order which for certain values of their parameters have one of the following characteristics.

This book is devoted to the study of nonlinear evolution and difference equations of first and second order governed by a maximal monotone operator.

This class of abstract evolution equations contains not only a class of ordinary differential equations, but also unify some important partial differential equations, such as the heat equation. 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. Iterative Methods for Linear and Nonlinear Equations C. Kelley North Carolina State University Society for Industrial and Applied Mathematics Philadelphia File Size: KB.

This is an example of a nonlinear diﬀerence equation because if we multiply out the right-hand side of the equation we have a quadratic term, namely, β M x 2 n.

Such equations are, in general, far more diﬃcult to solve than the linear diﬀerence equations we considered in Section ; in fact, many nonlinear diﬀerence equations are not. 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. This book covers the following topics: Introduction to odes, First-order odes, Second-order odes, constant coefficients, The Laplace transform, Series solutions, Systems of equations, Nonlinear differential equations, Partial differential equations.

A lot of new exact solutions to linear and nonlinear equations are included. Special attention is paid to equations of general form, which depend on arbitrary functions. The other equations contain one or more free parameters (the book actually deals with families of integral equations); it is the reader’s option to ﬁx these parameters.

equation, the diﬀusion equation and the wave equation, have the properties that they do. We also consider complex variable methods for solving Laplace’s equation, emphasizing their application to problems in ﬂuid mechanics. The second part of the book is concerned with nonlinear problems and more advanced techniques.

The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as.

"Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM).

Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters. 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.

In other words, in a nonlinear system of equations, the equation (s) to be solved cannot be written as a linear combination of the unknown variables or functions that appear in them. Systems can be defined as nonlinear, regardless of whether known linear functions appear in the equations.

For lecture courses that cover the classical theory of nonlinear differential equations associated with Poincare and Lyapunov and introduce the student to the ideas of bifurcation theory and chaos, this text is ideal/5(4).

8.E: Nonlinear Equations (Exercises) These are homework exercises to accompany Libl's "Differential Equations for Engineering" Textmap. This is a textbook targeted for a one semester first course on differential equations, aimed at engineering students.

Prerequisite for the course is the basic calculus sequence. Nonlinear Partial Differential Equations for Scientists and Engineers, Second Edition Lokenath Debnath. This is a great book. Take it from an average student, this book is good. It really gets the point across in a way that those of us who are average can understand and learn.

I love the book. See also List of nonlinear partial differential equations. ^ Davis, Harold Thayer. Introduction to nonlinear differential and integral equations. Courier Corporation, Nonlinear OrdinaryDiﬀerentialEquations by Peter J.

Olver University of Minnesota 1. Introduction. These notes are concerned with initial value problems for systems of ordinary dif-ferential equations. Here our emphasis will be on nonlinear phenomena and properties, particularly those with physical relevance.

Finding a solution to a File Size: KB. Walter Strauss' Partial Differential Equations: An Introduction is pretty standard as far as undergraduate texts go.

It seems pretty good to me, although it contains many errors, especially in the first edition. (Errata) The presentation style is. by program, a standard approach to solving a nasty di erential equation is to convert it to an approximately equivalent di erence equation.

Classi cation of Di erence Equations As with di erential equations, one can refer to the order of a di erence equation and note whether it is linear or non-linear and whether it is homogeneous or Size: 61KB. Get this from a library. Periodicities in nonlinear difference equations.

[E A Grove; G E Ladas] -- "Sharkovsky's Theorem, Li and Yorke's "period 3 implies chaos" result, and the (3x+1) conjecture are beautiful and deep results that demonstrate the rich.

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Jordan and P. Smith, Nonlinear Ordinary Differential Equations, An Introduction to Dynamical Systems (4th Edition, Oxford University Press, ) I. Nonlinear Ordinary Differential Equations book. Read reviews from world’s largest community for readers. This new edition has been expanded to include ar /5(5).

A diﬀerential equation (de) is an equation involving a function and its deriva-tives. Diﬀerential equations are called partial diﬀerential equations (pde) or or-dinary diﬀerential equations (ode) according to whether or not they contain partial derivatives.

The order of a diﬀerential equation is the highest order derivative Size: 1MB. focuses the student’s attention on the idea of seeking a solutionyof a differential equation by writingit as yD uy1, where y1 is a known solutionof related equation and uis a functionto be determined.

I use this idea in nonstandardways, as follows: In Section to solve nonlinear ﬁrst order equations, such as Bernoulli equations and nonlinear. Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics.

Based on a series of lectures given at the Universities of Melbourne and New South Wales in Australia, Nonlinear Ordinary D.Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena.

This excellent book gives a structured, systematic, and rigorous development of the basic theory from.Get this from a library! Weak convergence methods for nonlinear partial differential equations. [Lawrence C Evans; Conference Board of the Mathematical Sciences.].