Boundedness and Persistence of Lyness Equation with Variable Coefficients

Journal of East China Normal University(Natural Sc ›› 2003, Vol. 2003 ›› Issue (1): 17-20.

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Boundedness and Persistence of Lyness Equation with Variable Coefficients

LI Xian-yi

Department of Mathematics, East China Normal University, Shanghai 200062, China

Received:2001-04-11 Revised:2002-03-09 Online:2003-03-25 Published:2003-03-25

Abstract

Abstract: In this paper an invariant of an equation with variable coefficients is first found. Then, by utilizing the invariant, the boundedness and persistence of solutions of the Lyness equation is derived. Our result partly solves an open problem given by G.Ladas.

Key words: variable coefficient, invariant, boundedness and persistence, Lyness' equation, variable coefficient, invariant, boundedness and persistence

LI Xian-yi. Boundedness and Persistence of Lyness Equation with Variable Coefficients[J]. Journal of East China Normal University(Natural Sc, 2003, 2003(1): 17-20.

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Boundedness and Persistence of Lyness Equation with Variable Coefficients

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