1 edition of Nonlinear Difference Equations found in the catalog.
This book presents a rare mix of the latest mathematical theory and procedures in the area of nonlinear difference equations and discrete dynamical systems, together with applications of this theory to models in economics and other social sciences The theoretical results include not only familiar topics on chaos, bifurcation stability and instability of cycles and equilibria, but also some recently published and some as yet unpublished results on these and related topics (e.g., the theory of semiconjugates). In addition to rigorous mathematical analysis, the book discusses several social science models and analyzes some of them in substantial detail. This book is of potential interest to professionals and graduate students in mathematics and applied mathematics, as well as researchers in social sciences with an interest in the latest theoretical results pertaining to discrete, deterministic dynamical systems.
|Statement||by Hassan Sedaghat|
|Series||Mathematical Modelling: Theory and Applications -- 15, Mathematical Modelling: Theory and Applications -- 15|
|The Physical Object|
|Format||[electronic resource] :|
|Pagination||1 online resource (xv, 388 p.)|
|Number of Pages||388|
|ISBN 10||9048162157, 9401704171|
|ISBN 10||9789048162154, 9789401704175|
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,
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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 Nonlinear Difference Equations book.
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.
Nonlinear Difference Equations book 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 .