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Frequent oscillation in a nonlinear partial difference equation
Authors:Jun Yang  Yu Jing Zhang  Sui Sun Cheng
Affiliation:(1) College of Science, Yanshan University, Qinhuangdao Hebei, 066004, P.R. China;(2) Mathematics Research Center in Hebei Province, Shijiazhuang Hebei, 050000, P.R. China;(3) Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan, 30043, R.O. China
Abstract:This paper is concerned with a class of nonlinear delay partial difference equations with variable coefficients, which may change sign. By making use of frequency measures, some new oscillatory criteria are established. This is the first time oscillation of these partial difference equations is discussed by employing frequency measures.
Keywords:partial difference equations  frequency measures  frequently oscillatory solution  unsaturated solution
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