一类二阶混合偏差分方程解的振动性  

The Oscillatory Behavior of a Two-order Mixed Partial Difference Equation

作　　者：薛蓉 马慧莉 汪海霞 XUE Rong;MA Hui-li;WANG Hai-xia(College of Mathematics andStatistics,Northwest NormalUniversity,Lanzhou 730070,China;College of Business,Northwest NormalUniversity,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070 [2]西北师范大学商学院,兰州730070

出　　处：《西南师范大学学报（自然科学版）》2018年第2期19-22,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11061030);甘肃省自然科学基金项目(14RJZA232)

摘　　要：应用包络理论研究二阶混合偏差分方程U_(m+2,n)+pU_(m,n+2)-U_(m,n)+qU_(m+σ,n-τ)=0其中,τ,σ为正整数,m,n为非负整数,p,q为实数,得到了解振动的几个充要条件.Theenvelope theory is usedto investigate the oscillatory behavior of the second-order mixed partialdifference equation U m+2,n+pU m,n+2-U m,n+qU m+σ,n-τ=0 whereσandτare positive integers,m and n are non-negativeintegers,and p and q are non-zeroconstants.Somenecessary and sufficient conditions of oscillation of solutions are obtained.

关 键 词：混合偏差分方程 振动 特征方程 

分 类 号：O175.7[理学—数学]