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Existence of multiple positive periodic solutions for nonlinear functional difference equations
Authors:Manjun Ma  Jianshe Yu
Institution:a Department of Applied Mathematics, Hunan University, Changsha, Hunan 410082, People's Republic of China
b Department of Physics-Mathematics, Nanhua University, Hengyang, Hunan 421001, People's Republic of China
c School of Mathematics and Information Science, Guangzhou University, Guangzhou 510405, People's Republic of China
Abstract:In this paper, we investigate the existence of multiple positive periodic solutions to a class of functional difference equations. We answer the open problems proposed by Y. Raffoul in Electron. J. Differential Equations 55 (2002) 1-8] and the conditions obtained improve some recent results established there.
Keywords:Functional difference equation  Multiple positive solutions  Fixed points
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