吉林大学学报(理学版)2018,Vol.56Issue(3):582-584,3.DOI:10.13413/j.cnki.jdxblxb.2018.03.19
二阶双参数混合型偏差分方程解的振动性
Oscillation of Second-Order Mixed Partial Difference Equation with Two Constant Coefficients
摘要
Abstract
We invesigated the oscillation of the solution of the second-order mixed partial difference equation with two constant coefficients pUm+ 2 ,n+ qUm,n+2 -Um,n + Um+ σ,n-τ=0 by using the envelope theory ,and obtained three necessary and sufficient conditions for the oscillation of solutions of the equation ,w here σand τare positive integers , m and n are non-negative integers , p and q are real numbers .关键词
混合偏差分方程/振动/特征方程Key words
mixed partial difference equation/oscillation/characteristic equation分类
数理科学引用本文复制引用
马慧莉,薛蓉..二阶双参数混合型偏差分方程解的振动性[J].吉林大学学报(理学版),2018,56(3):582-584,3.基金项目
国家自然科学基金(批准号:11061030)和甘肃省自然科学基金(批准号:14RJZA232). (批准号:11061030)