一类具连续变量差分方程的强迫振动性  

Forced oscillation for difference equations with continuous arguments

作　　者：陈仕洲[1] 

机构地区：[1]韩山师范学院数学系,广东潮州521041

出　　处：《重庆工商大学学报（自然科学版）》2004年第2期113-114,136,共3页Journal of Chongqing Technology and Business University:Natural Science Edition

摘　　要：利用Lebesgue控制收敛定理,建立了具连续变量差分方程振动性的几个新的比较定理,给出了具连续变量差分方程强迫振动性的充分条件,并举例说明了强迫项对方程解的振动性的影响.By using Lebesgue's dominated convergence theorem,several new comparison theorems for the oscillations of the difference equations with continuous arguments were established. Sufficient conditions were obtained for forced oscillations of the difference equations with continuous arguments. Finally, some examples were given to illustrate the effect of forced arguments on the oscillations of the solutions to the difference equations .

关 键 词：连续变量 差分方程 强迫振动性 LEBESGUE控制收敛定理 

分 类 号：O175.7[理学—数学]