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一类非线性时滞偏差分方程的不饱和解
引用本文:李冬梅,陶元红.一类非线性时滞偏差分方程的不饱和解[J].延边大学理工学报,2010,36(2):95-100.
作者姓名:李冬梅  陶元红
作者单位:延边大学理学院,数学系,吉林,延吉,133002 
基金项目:国家自然科学基金资助项目 
摘    要:利用频密测度和无穷双序列{um,n}不饱和解的概念,讨论了一类带有可变号系数的非线性时滞偏差分方程解的不饱和性质,给出了偏差分方程解的频密振动性的几个充分条件.

关 键 词:偏差分方程  频密测度  不饱和性  频密振动性

Unsaturated Solutions of A Nonlinear Delay Partial Difference Equations
LI Dong-mei,TAO Yuan-hong.Unsaturated Solutions of A Nonlinear Delay Partial Difference Equations[J].Journal of Yanbian University (Natural Science),2010,36(2):95-100.
Authors:LI Dong-mei  TAO Yuan-hong
Affiliation:(Department of Mathematics,College of Sciences,Yanbian University,Yanji 133002,China)
Abstract:By employing the concept of frequency measures and unsaturated infinite double sequence,unsaturated solutions are discussed for a class of nonlinear delay partial difference equations with variable coefficients,which may change sigh.Some new criteria of unsaturated solutions are established.Since unsaturated solutions are oscillatory,our results yield oscillation criteria.
Keywords:partial difference equation  frequency measure  unsaturated solution  frequently oscillatory criteria
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