On a k-Order System of Lyness-Type Difference Equations
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We consider the following system of Lyness-type difference equations: Open image in new window , Open image in new window , Open image in new window , Open image in new window , where Open image in new window , Open image in new window , Open image in new window , are positive constants, Open image in new window is an integer, and the initial values are positive real numbers. We study the existence of invariants, the boundedness, the persistence, and the periodicity of the positive solutions of this system.
KeywordsDifferential Equation Partial Differential Equation Ordinary Differential Equation Functional Analysis Functional Equation
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