Last edited by Maukus
Thursday, May 14, 2020 | History

5 edition of Periodicities in Nonlinear Difference Equations (Discrete Mathematics and Applications) found in the catalog. # Periodicities in Nonlinear Difference Equations (Discrete Mathematics and Applications)

## by E.A. Grove

Written in English

Subjects:
• Calculus & mathematical analysis,
• Nonlinear difference equations,
• Cycles,
• Mathematics,
• Science/Mathematics,
• Numerical solutions,
• Calculus,
• Combinatorics,
• Mathematics / Combinatorics,
• Discrete Mathematics

• The Physical Object
FormatHardcover
Number of Pages392
ID Numbers
Open LibraryOL8259986M
ISBN 100849331560
ISBN 109780849331565

Solving Difference Equations There are two things we would like to do when we have a difference equation: 1. Solve it: We would like an explicit formula for z(t) that is only a function of t, the coefﬁcients of the difference equation, and the starting values. 2. Study the . There is a considerable interest in studying nonlinear difference equations nowadays; see, for example, [1–40] and numerous references listed therein. The investigation of the higher-order nonlinear difference equation where and, and,, was suggested by Stević at numerous talks and in papers (see, e.g., [ 20, 28, 30, 34 – 38 ] and the Cited by: 4.

Theory Of Difference Equations Numerical Methods And Applications Theory Of Difference Equations Numerical Methods And Applications 2nd Edition. V. Lakshmikantham, Donato Trigiante. Hardback \$ eBook \$ eBook Rental Periodicities in Nonlinear Difference Equations. SYSTEMS OF NONLINEAR EQUATIONS Widely used in the mathematical modeling of real world phenomena. We introduce some numerical methods for their solution. For better intuition, we examine systems of two nonlinear equations and numerical methods for their solution. We then generalize to systems of an arbitrary Size: 82KB.

The presen t volume contains the book-length text of a paper entitled "Nonlinear operators and nonlinear equations of evolution in Banach spaces" composed in its entiret y during the calendar year to be publishe d as par t of the Proceedings of the Symposium on Nonlinear Functional Analysis held in connection with the. Other articles where Nonlinear equation is discussed: mathematics: Linear algebra: have been tackled successfully, while nonlinear equations continue to be difficult. Indeed, in many linear problems there can be found a finite family of solutions with the property that any solution is a sum of them (suitably multiplied by arbitrary constants).

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### Periodicities in Nonlinear Difference Equations (Discrete Mathematics and Applications) by E.A. Grove Download PDF EPUB FB2

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: by: Book Description.

Sharkovsky's Theorem, Li and Yorke's "period three implies chaos" result, and the (3x+1) conjecture are beautiful and deep results that demonstrate the rich periodic character of first-order, nonlinear difference equations.

To date, however, we still know surprisingly little about higher-order nonlinear difference equations. Periodicities in Nonlinear Difference Equations (Advances in Discrete Mathematics and Applications Book 4) - Kindle edition by Grove, E.A., 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 Periodicities in Nonlinear Difference Equations (Advances in Discrete Mathematics and Applications Price: \$ With the results and discussions it presents, Periodicities in Nonlinear Difference Equations places a few more stones in the foundation of the basic theory of nonlinear difference equations.

Researchers and graduate students working in difference equations and discrete dynamical systems will find much to intrigue them and inspire further work. Sharkovsky's Theorem, Li and Yorke's "period three implies chaos" result, and the (3x+1) conjecture are beautiful and deep results that demonstrate the rich periodic character of first-order, nonlinear difference equations.

To date, however, we still know surprisingly little about higher-order nonlinear difference equations. During the lastCited by: 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 periodic character of first-order, nonlinear.

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/5(85).

Get this from a library. Periodicities in nonlinear difference equations. [E A Grove; G E Ladas] -- This detailed study illustrates the periodic character that these equations bring to mathematics. Giving a complete picture of the global behaviour of the solutions too, this book can also be used as.

Periodicities in Nonlinear Difference Equations (Discrete Mathematics and Applications) by E.A. Grove; G. Ladas and a great selection of related books, art and collectibles available now at Periodicities in Nonlinear Difference Equations.

DOI link for Periodicities in Nonlinear Difference Equations. Periodicities in Nonlinear Difference Equations book. Free Online Library: Periodicities in nonlinear difference equations.(MATH, COMPUTERS, Brief Article, Book Review) by "SciTech Book News"; Publishing industry Library and information science Science and technology, general Books Book reviews.

To date, however, we still know surprisingly little about higher-order nonlinear difference 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.

In this paper, we investigate the periodicities and long-term behaviour of the nonlinear difference equation: xn+1=xnxn-1+a, n∈N0, where the initial conditions x-1 and x0 are real numbers. View. 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 File Size: KB.

Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures - Ebook written by Elias Camouzis, G. Ladas. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures.

PDF | We study the periodicities of a system of difference equations xn+1=max1/xn,An/yn-k,yn+1=max1/yn,Bn/xn-k, where initial values | Find, read and cite all the.

Nonlinear Diﬀerence Equations with Periodic Solutions 17 has the characteristic polynomial λ2 + 1 x λ+1, (12) and for the ﬁrst equilibrium its zeros are simple third roots of unity. For the initial values x −1 = x 0 = 3 we ﬁnd x 1 = −1 3, x 2 = 7 9, so that this solution is not 3-periodic. Here, the zeros of (12) concerning the.

With the results and discussions it presents, "Periodicities in Nonlinear Difference Equations" places a few more stones in the foundation of the basic theory of nonlinear difference equations.

Researchers and graduate students working in difference equations and discrete dynamical systems will find much to intrigue them and inspire further. A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and.

Stević, On behavior of a class of difference equations with maximum, in: Mathematical Models in Engineering, Biology and Medicine, Conference on Boundary Value Problems. Book of abstracts. Santiago de Compostela, Spain, September 16–19,by:. Hyperbolic Partial Differential Equations III is a refereed journal issue that explores the applications, theory, and/or applied methods related to hyperbolic partial differential equations, or problems arising out of hyperbolic partial differential equations, in any area of research.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.There has been a great recent interest in studying difference equations and systems of difference equations which do not stem from differential ones (see, e.g., [1–19] and the references therein).

For some results on concrete systems of nonlinear difference equations, see, for Author: Stevo Stević, Mohammed A. Alghamdi, Dalal A. Maturi, Naseer Shahzad.