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Zusatztext "The advantage of the book is not only the presentation of new results! but also the formulation of many open problems and conjectures which shall stimulate further investigations of researchers and graduate students."- Lothar Berg! Zentralblatt MATH! 2006 Informationen zum Autor E.A. Grove, G. Ladas Klappentext During the last ten years there has been a fascination with discovering nonlinear difference equations of order greater than one. Periodicities in Nonlinear Difference Equations presents in detail the rich periodic character of these equations and brings to the attention of the mathematical community some thought provoking questions! open problems and conjectures worthy of investigation. It also investigates the global character of solutions of these equations for other values of their parameters and attempts to see a more complete picture of the global behavior of their solutions. A comprehensive monograph on the subject! this book can also be used as a supplement for a course on difference equations. Zusammenfassung 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. This book investigates the global character of solutions of these equations for other values of their parameters. Inhaltsverzeichnis Preliminaries. Equations with Periodic Solutions. Equations with Eventually Periodic Solutions. Convergence to Periodic Solutions. The Equation xn+1=. Max Equations with Periodic Solutions. Max Equations with Periodic Coefficients. Equations in the Spirit of the (3x+1) Conjecture. Bibliography. References.
