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Tuesday, November 17, 2020 | History

4 edition of Nonlinear Difference Equations: Theory with Applications to Social Science Models found in the catalog.

Nonlinear Difference Equations: Theory with Applications to Social Science Models

  • 333 Want to read
  • 4 Currently reading

Published by Springer .
Written in English

    Subjects:
  • Differential equations,
  • Functional Analysis,
  • Mathematics,
  • Science/Mathematics,
  • Social sciences,
  • Nonlinear difference equations,
  • Calculus,
  • General,
  • Mathematics / Calculus,
  • Mathematics / Differential Equations,
  • Medical-General,
  • Social Science-General,
  • Economics - General,
  • Mathematical Analysis

  • Edition Notes

    Mathematical Modelling: Theory and Applications

    The Physical Object
    FormatHardcover
    Number of Pages404
    ID Numbers
    Open LibraryOL8370449M
    ISBN 101402011164
    ISBN 109781402011160

    MATHEMATICAL MODELS IN ECONOMICS – Vol. I – Economic Dynamics - Wei-Bin Zhang ©Encyclopedia of Life Support Systems (EOLSS) results related to linear (linearized) and nonlinear equations and their applications to economics. 1. Introduction The filed of applications of dynamic theory to economics is a vast and vibrant area. AbstractIn this paper, we study the existence of solutions for a class of p-Laplacian fractional boundary value problem. We give some new criteria for the existence of solutions of considered problem. Critical point theory and variational method are : Nemat Nyamoradi, Stepan Tersian. But in classical mechanics there is a clear association between the models of a theory and the state spaces definable over the variables of those models, with a further hypothesis about the relationship between the model state space and that of the physical system being modeled (the faithful model assumption, §). One can translate between.


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Nonlinear Difference Equations: Theory with Applications to Social Science Models by H. Sedaghat Download PDF EPUB FB2

Nonlinear Difference Equations Theory with Applications to Social Science Models. Authors: Sedaghat, H. Free Preview. Social science phe­ nomena typically defy precise measurements or data collection that are comparable in accuracy and detail to those in the natural sciences.

Con­ sequently, a deterministic model is rarely expected to yield a precise description of the actual phenomenon being modelled. The second edition presents, analyzes, and discusses a large number of applications from the mathematical, biological, physical, and social sciences.

Discussions on perturbation methods and difference equation models of differential equation models of differential equations represent contributions by the author to the research by: Get this from a library. Nonlinear difference equations: theory with applications to social science models.

[Hassan Sedaghat]. 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.

In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature.

Nonlinear dynamical systems, describing changes in variables over time, may appear. The nonlinear neutron transport problem under consideration was first transformed into a nonlinear abstract problem; the theory of evolution equations in Banach spaces was then used to prove existence and uniqueness of a solution, defined on a suitably small time interval [0, t].

A Useful Guide to the Interrelated Areas of Differential Equations, Difference Equations, and Queueing Models. Difference and Differential Equations with Applications in Queueing Theory presents the unique connections between the methods and applications of differential equations, difference equations, and Markovian queues.

Featuring a comprehensive collection of topics that are used in. KENNETH L. COOKE, in International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics, 1 Introduction. Though differential-difference equations were encountered by such early analysts as Euler [12], and Poisson [28], a systematic development of the theory of such equations was not begun until E.

Schmidt published an important paper [32] about fifty years ago. Hassan Sedaghat is a professor emeritus of Mathematics at the Virginia Commonwealth University. My research areas include discrete dynamical systems, nonlinear difference equations and the. Difference and Differential Equations is a section of the open access peer-reviewed journal Mathematics, which publishes high quality works on this subject and its applications in mathematics, computation, and engineering.

The primary aim of Difference and Differential Equations is the publication and dissemination of relevant mathematical works in this discipline. The second edition of Difference Equations: Theory and Applications provides a thorough listing of all major theorems along with proofs.

The text treats the case of first-order difference equations in detail, using both analytical and geometrical Range: $ - $ This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems.

The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo Brand: Birkhäuser Basel.

Longitudinal and Panel Data: Analysis and Applications for the Social Sciences Brief Table of Contents Chapter 1. Introduction PART I - LINEAR MODELS Chapter 2. Fixed Effects Models Chapter 3. Models with Random Effects Chapter 4.

Prediction and Bayesian Inference Chapter 5. Multilevel Models Chapter 6. Random Regressors Chapter 7. Modeling Issues. nonlinear (nŏn-lĭn′ē-ər) adj. Not in a straight line. Mathematics a. Occurring as a result of an operation that is not linear. Containing a variable with an exponent other than one.

Used of an equation. Of or relating to a system of equations whose effects are not proportional to their causes. Such a set of equations can be.

Mathematical Modeling: Models, Analysis and Applications covers modeling with all kinds of differential equations, namely ordinary, partial, delay, and stochastic.

The book also contains a chapter on discrete modeling, consisting of differential equations, making it a complete textbook on this important skill needed for the study of science.

Journal of Difference Equations and Applications. Impact Factor. Search in: Advanced search. Submit an article Transseries for a class of nonlinear difference equations.

Boele. Pages: SI and SIR epidemic models. Gerry Ladas & Linda J.S. Allen. This paper studies a class of nonlinear second order difference equations of the type xn+1=f(xn, xn-1/xn), where f is symmetric and monotonic with initial conditions x-1,x 0 being positive real.

The second edition presents, analyzes, and discusses a large number of applications from the mathematical, biological, physical, and social sciences. Discussions on perturbation methods and difference equation models of differential equation models of differential equations represent contributions by the author to the research literature.

Symmetry, an international, peer-reviewed Open Access journal. Dear Colleagues, Fractional calculus provides the possibility of introducing integrals and derivatives of arbitrary order in the mathematical modelling of physical processes, and it has become a relevant subject with applications to various fields, such as anomalous diffusion, propagation in different media or in relation with.

Form Symmetries and Reduction of Order in Difference Equations (comprehensive textbook on the subject with examples and exercises) Nonlinear Difference Equations: Theory with Applications to Social Science Models (a book on discrete mathematical models and the theory behind them) Selected publications.

Selected invited presentations. Nonlinear Science, Chaos & Dynamical Systems; for solving nonlinear problems arising in investigation of ordinary and partial differential equations as well as difference equations.

Applications covered in the book include symmetries and first integrals, linearization transformations, Bäcklund transformations, stroboscopic maps, functional.

differential equations theory in a way that can be understood by anyone who has basic knowledge of calculus and linear algebra. In addition to traditional applications of the theory to economic dynamics, this book also contains many recent developments in different fields of economics.

The book is mainly concerned with how differential File Size: KB. Grandmont Jean-michel, "Nonlinear difference equations bifurcations and chaos: an introduction," CEPREMAP Working Papers (Couverture Orange)CEPREMAP.

Jean-Michel Grandmont, "Nonlinear Difference Equations, Bifurcation and Chaos: An Introduction"," Working PapersCenter for Research in Economics and by: Nonlinear Difference Equations: Theory with Applications to Social Science Models, H.

Sedaghat, Kluwer, Arithmetic of Infinity, Y. Sergeyev, Orizzonti Meridionali, Journals (please submit journals with link to the editor): Advances in Difference Equations (Editor-in-Chief is ISDE member Ravi Agarwal). Explorations of Mathematical Models in Biology with MATLAB is an ideal textbook for upper-undergraduate courses in mathematical models in biology, theoretical ecology, bioeconomics, forensic science, applied mathematics, and environmental science.

The book is also an excellent reference for biologists, ecologists, mathematicians Author: Mazen Shahin. This book describes complete nonlinear quantum mechanics, in which the fundamental and necessity theoretical principle and wave-corpuscle duality of microscopic particles were the foundation of this principle and its experimental evidences, the mechanisms of generation of the nonlinear interactions and its effects, as well as the methods solving nonlinear quantum mechanical problems, its.

springer, One of the current main challenges in the area of scientific computing is the design and implementation of accurate numerical models for complex physical systems which are described by time dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the.

Applications will cover many scientific disciplines, including physics, chemistry, biology, economics, and other social sciences. Goal: The first goal is to teach why nonlinear dynamics and chaos theory is important in understanding complicated behaviors.

The second goal is to give. In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear describe many different physical systems, ranging from gravitation to fluid dynamics, and have been used in mathematics to solve problems such as the Poincaré conjecture and the Calabi are difficult to study: there are almost no general techniques.

This book addresses key aspects of recent developments in applied mathematical analysis and its use. It also highlights a broad range of applications from science, engineering, technology and social perspectives. Each chapter investigates selected research problems and presents a balanced mix of theory, methods and applications for the chosen.

In recent years, the study of difference equations has acquired a new significance, due in large part to their use in the formulation and analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic s: 0.

On Periodic Orbits of Autonomous Differential-Difference Equations (L A V Carvalho & L A C Ladeira) High Complexity of Spatial Patterns in Gradient Reaction-Diffusion Systems (S N Chow et al.) General Bifurcation Theory: Local Results and Applications (M Furi et al.) Travelling Epidemic Waves and Correlated Random Walks (K P Hadeler).

The second volume is Saaty’s Modern Nonlinear Equations (McGraw-Hill, ) that covers more esoteric types of equations, such as nonlinear difference equations, differential-difference equations, and integral equations.

Between them, the two books covered everything in nonlinear mathematics at the time of their publication except for. Sedaghat H., Nonlinear Difference Equations: Theory with Applications to Social Science Models, Springer, Netherland, [3] Din Q., Dynamics of a discrete-Lotka-Volterra model, Advances in Difference Equations (), Cited by: 3.

Nonlinear Methods for Psychological Science. This APA Advanced Training Institute addresses methods of analysis from nonlinear dynamics and complexity theory and provides every participant with first-hand experience in analyzing data for nonlinear structure.

University of. () On the dynamical equations of conditional probability density functions, with applications to optimal stochastic control theory.

Journal of Mathematical Analysis and ApplicationsCited by: In a nonlinear statistical model, the predicted values are nonlinear functions of the parameters, not necessarily of the predictor variables: thus, a quadratic model is linear in the statistical sense (y is a linear function of the parameters a, b and c even though it is a nonlinear function of the predictor variable x), while a power‐law Cited by: in the development of economic theory as a science.

However, one often forgets that the shall concentrate on two classes of models most commonly used in economic theory, namely difference equations and ordinary differential equations.

(Besides difference and Mathematical Models in Economics - Alfredo MedioFile Size: KB. Endorsements. Judd's book is a masterpiece which will help transform the way economic theory is done.

It harnesses the computer revolution in the service of economic theory by collecting together a whole array of numerical methods to simulate and quantify models. Nonlinear Analysis: Real World Applications() Dynamics Analysis of an SEIQS Model with a Nonlinear Incidence Rate.

Applied Mechanics and MaterialsCited by: Tian & Zhang/ VACATION QUEUEING MODELS: Theory and Applications Yan, Yin & Zhang/ STOCHASTIC PROCESSES, OPTIMIZATION, AND CONTROL THEORY APPLICATIONS IN FINANCIAL ENGINEERING, QUEUEING NETWORKS, AND MANUFACTURING SYSTEMS Saaty & Vargas/ DECISION MAKING WITH THE ANALYTIC NETWORK PROCESS: Economic, Political.

Signal Processing: Applications in Physical Models (HB) This book extends this circle of ideas by introducing systems in physics that are modeled using partial differential equations, and nonlinear differential equations having possibly time varying coefficients and also stochastic differential equations involving nonlinear systems with random.