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