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Thursday, April 16, 2020 | History

7 edition of Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures (Advances in Discrete Mathematics and Applications) found in the catalog.

# Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures (Advances in Discrete Mathematics and Applications)

Written in English

Subjects:
• Calculus & mathematical analysis,
• Mathematics,
• Science/Mathematics,
• Differential Equations,
• Mathematics / Differential Equations,
• Applied,
• Mathematical Physics,
• Difference equations,
• Numerical solutions

• The Physical Object
FormatHardcover
Number of Pages576
ID Numbers
Open LibraryOL12313813M
ISBN 101584887656
ISBN 109781584887652

G. Ladas is the author of Proceedings of the Sixth International Conference on Difference Equations Augsburg, Germany ( avg rating, 0 ratings, 0 4/5(1).

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### Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures (Advances in Discrete Mathematics and Applications) by Elias Camouzis Download PDF EPUB FB2

Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence to periodic solutions, including their periodic trichotomies.

The book also provides numerous thought-provoking open problems and conjectures on the boundedness character, global stability Format: Paperback.

Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence to periodic solutions, including their periodic trichotomies.

The book also provides numerous thought-provoking open problems and conjectures on the boundedness character, global stability Cited by: Extending and generalizing the results of rational equations, Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence.

Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence to periodic solutions, including their p.

Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures Elias Camouzis Gerasimos Ladas Chapman & Hall/CRC Taylor & Francis Croup Boca Raton London New York Chapman & Hall/CRC is an imprint of the Taylor St Francis Group, an informa businessCited by: "Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures focuses on the boundedness nature of solutions, the global stability of equilibrium points, Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures book periodic character of solutions, and the convergence to periodic solutions, including their periodic trichotomies.

The seminal text 'Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures' treats the large class of difference equations described by Equation (1). Some. Camouzis E, Ladas G: Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures, Advances in Discrete Mathematics and Applications.

Volume 5. Chapman & Hall/CRC, Boca Raton, Fla, USA; xxii+ Google ScholarCited by: 1. [15] Kulenovic, M. and Ladas, G., Dynamics of Second Order R ational Diﬀerence equations wi th Open Problems and Conjectures, Chapman and Hal l/CRC Press, Boca Raton, FL, Dynamics of Second Order Rational Difference Equations; with Open Problems and Conjectures, Chapman and Hall/HRC Boca Raton () G.

Ladas. Dynamics of Third-Order Rational Difference Equations; With Open Problems and Conjectures, Chapman and Hall/HRC Boca Raton () Google : M.M. El-Dessoky, M.M. El-Dessoky. Dynamics of Second Order Rational Difference Equations book.

With Open Problems and Conjectures. DOI link for Dynamics of Second Order Rational Difference Equations. Dynamics of Second Order Rational Difference Equations book.

With Open Problems and Conjectures. By Mustafa R.S. Kulenovic, Author: Mustafa R.S. Kulenovic, G. Ladas. Get this from a library.

Dynamics of third-order rational difference equations with open problems and conjectures. [Elias Camouzis; G E Ladas]. Camouzis, E., Ladas, G.: Dynamics of Third-Order Rational Difference Equations; With Open Problems and Conjectures. Chapman & Cited by: 2.

Elias CamouzisChapman & HallHardbackThis book focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence to periodic solutions, including their periodic trichotomies.

It provides thought-provoking open. The aim of this paper is to investigate the qualitative behavior of a higher-order nonautonomous rational difference equation with periodic coefficients. Particularly, our investigation gives some answers to two open problems proposed by Camouzis and Ladas in their monograph (Dynamics of third order rational difference equations with open problems and conjectures Author: Imane Dekkar, Nouressadat Touafek, Qamar Din.

Since the system of the difference equation is the extension of the third-order equation in [] in the six-dimensional this paper, we investigated the local behavior of solutions of the system of difference equation using as we saw linearization do not say anything about the global behavior and fails when the eigenvalues have modulus by: Extending and generalizing the results of rational equations, Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence to periodic solutions, including their p.

Dynamics of a Rational Difference Equation Xiu-Mei Jia, 1, 2 Lin-Xia Hu, 3 and W an-T ong Li 2 1 Department of Mathematics, Hexi University, Zhangye, GansuChina. In this paper, we will investigate a nonlinear rational difference equation of higher order.

Our concentration is on invariant intervals, periodic character, the character of semicycles and global asymptotic stability of all positive solutions of x n + 1 = β x n + γ x n-k Bx n + Cx n-k, n = 0, 1.

It is worth to mention that our results solve the open problem proposed by Kulenvic and Cited by: This result solves Open Problem (a) in [M.R.S.

Kulenovic, G. Ladas, Dynamics of Second Order Rational Difference Equations. With Open Problems and Conjectures, Chapman and Hall/CRC, E.

Camouzis and G. Ladas, Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures, vol. 5 of Advances in Discrete Mathematics and Applications, Chapman Hall/CRC, Boca Raton, Fla, USA, View at: MathSciNetCited by: 1.

In particular, our results solve the open problem introduced by Kulenovic and Ladas in their monograph [Dynamics of Second Order Rational Difference Equations with Open Problems and Conjectures.

Book Description. This self-contained monograph provides systematic, instructive analysis of second-order rational difference equations.

After classifying the various types of these equations and introducing some preliminary results, the authors systematically investigate each equation for semicycles, invariant intervals, boundedness, periodicity, and global stability. On the Dynamics of a Rational Difference Equation, Part 1 3 In the next two theorems we make use of the following notation associated with a function f(z1,z2) which is monotonic in both arguments.

For each pair of numbers (m,M) and for each i ∈{1,2}, deﬁne M. In particular, our results solve the open problem introduced by Kulenovic and Ladas in their monograph [M.R.S. Kulenovic, G. Ladas, Dynamics of Second Order Rational Difference Equations with Open Problems and Conjectures, Chapman and Hall/CRC, Boca Raton, ].Cited by: 5.

Summary This self-contained monograph provides systematic, instructive analysis of second-order rational difference equations. After classifying the various types of these equations and introducing some preliminary results, the authors systematically investigate each equation for semicycles, invariant intervals, boundedness, periodicity, and global stability.

Dynamics of second order rational difference equations: with open problems and conjectures Mustafa R.S. Kulenovic, G. Ladas This self-contained monograph provides systematic, instructive analysis of second-order rational difference equations.

In particular, our results solve the open problem proposed by Kulenvic and Ladas in their monograph [Dynamics of Second Order Rational Difference Equations: with Open Problems and Conjectures, Chapman & Hall/CRC, Boca Raton, ].Cited by: E.

Camouzis and G. Ladas, Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures, vol. 5 of Advances in Discrete Mathematics and Applications, Chapman & Hall/CRC, Boca Raton, Fla, USA, Cited by: 1.

Rational difference equations are a special form of nonlinear difference equations. We refer to [9–14] for basic theory of difference equations and rational difference equations.

Recently, many authors have discussed the dynamics of rational difference equations [15–27].Cited by:   Dynamics of Second Order Rational Difference Equations by Mustafa R. S Each chapter contains a section of open problems and conjectures that will stimulate further research interest in working towards a complete understanding of the dynamics of the equation and its functional generalizations-many of them ideal for research projects or Ph.D.

Extending and generalizing the results of rational equations, Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures focuses on the boundedness nature of solutions, the global stability of equilibrium points, the. with parameter $$\beta$$ and with arbitrary initial conditions such that the denominator is always positive.

The main goal of the paper is to confirm Conjecture and to solve Open Problem stated by A.M. Amleh, E. Camouzis and G. Ladas in On the Dynamics of a Rational Difference Equations I (International Journal of Difference Equations, Volume Author: Aija Anisimova. Dynamics of Second Order Rational Difference Equations: With Open Problems and Conjectures - Kindle edition by Kulenovic, Mustafa R.S., Ladas, G.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Dynamics of Second Order Rational Difference Equations: With Open Problems and cturer: Chapman and Hall/CRC. This self-contained monograph provides systematic, instructive analysis of second-order rational difference equations.

After classifying the various types of these equations and introducing some preliminary results, the authors systematically investigate each equation for semicycles, invariant intervals, boundedness, periodicity, and global by: E.

Camouzis and G. Ladas, Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures, vol. 5, CRC Press, V.

Kocic and G. Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Kluwer Academic, Dordrecht, The Netherlands, Cited by: 2.

Get this from a library. Dynamics of second order rational difference equations: with open problems and conjectures. [M R S Kulenović; G E Ladas] -- This self-contained monograph provides systematic, instructive analysis of all second-order rational difference equations.

After classifying the various types of these equations and introducing some. With Open Problems and Conjectures. DOI link for Dynamics of Second Order Rational Difference Equations. Dynamics of Second Order Rational Difference Equations book.

With Open Problems and Conjectures. By Mustafa R.S. Kulenovic, G. Ladas. Edition 1st Edition. First Published Get this from a library. Dynamics of second order rational difference equations: with open problems and conjectures.

[M R S Kulenovioc; G E Ladas] -- Annotation This self-contained monograph provides systematic, instructive analysis of all second-order rational difference equations of the type (N, M) where N, M=1,2,3.

After classifying the types. The study of nonlinear rational difference equations of higher order is of paramount importance, since we still know so little about such equations. It is worthwhile to point out that although several approaches have been developed for finding the global character of difference equations [ 2 – 4 ], relatively a large number of difference Cited by: 2.

Abstract. We consider the second order rational difference equation n = 0,1,2, where the parameters are positive real numbers, and the initial conditions are nonnegative real numbers. We give a necessary and sufficient condition for the equation to have a prime period-two by: 4.

Clear, simple, and direct exposition combined with thoughtful uniformity in the presentation make Dynamics of Second Order Rational Difference Equations valuable as an advanced undergraduate or a graduate-level text, a reference for researchers, and as a supplement to every textbook on difference equations at all levels of : Mustafa R.S.

Kulenovic.First-order rational difference equation. A first-order rational difference equation is a nonlinear difference equation of the form + = + +. When, and the initial condition are real numbers, this difference equation is called a Riccati difference equation.

Such an equation can be solved by writing as a nonlinear transformation of another variable which itself evolves linearly.