Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures

✍ Scribed by Elias Camouzis, G. Ladas

Publisher: Chapman & Hall/CRC
Year: 2008
Tongue: English
Leaves: 579
Series: Advances in discrete mathematics and applications 5
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures investigates third order rational difference equations by detailing the behavior of 225 special cases including boundedness, periodic nature, the global asymptotic stability of solutions, as well as extensions and generalizations. The methods developed to understand the dynamics of rational difference equations are useful to analyze equations in any mathematical model involving difference equations. Addressing period-two and period-three trichotomies, the book also presents various open problems and conjectures in order to stimulate future directions for research in the field.

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