二阶三参数混合型偏差分方程解的振动性  

The Oscillatory Behavior of the Second-Order Mixed Partial Difference Equations

作　　者：王文杰[1] 薛蓉 马慧莉 

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070 [2]西北师范大学数学与统计学院,甘肃兰州730070 [3]西北师范大学商学院,甘肃兰州730070

出　　处：《数学的实践与认识》2018年第5期228-234,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61363058,11126296,11061030);甘肃省自然科学基金(145RJZA232)

摘　　要：应用包络理论主要研究了偏差分方程pUm＋2,n＋qUm,n＋2-Um,n＋rUm＋σ,n-r=0,解的振动性，其中参数p，q，r是实数，σ，T为正整数，m，n为非负整数．This paper is mainly to investigate the oscillatory behavior of the second-order mixed partial difference equations with three parameters. By using the envelop theory and getting the necessary and sufficient conditions of oscillation of solutions. The equation is pUm＋2,n＋qUm,n＋2-Um,n＋rUm＋σ,n-r=0, Where σ, T are positive integers ,m, n are non-negative integers ,p, q, r are non-zero constants.

关 键 词：混合偏差分方程 振动 包络 特征方程 

分 类 号：O175.2[理学—数学]