山东理工大学学报(自然科学版)
山東理工大學學報(自然科學版)
산동리공대학학보(자연과학판)
Journal of Shandong University of Technology (Natural Science Edition)
2015年
6期
36-38
,共3页
脉冲%差分方程%时滞%振动性
脈遲%差分方程%時滯%振動性
맥충%차분방정%시체%진동성
impulse%difference equation%delay%oscillation
对一类具有脉冲的多时滞差分方程进行了研究。通过构造辅助函数,借助于反证法、单调有界原理、求和及确界运算等得到了方程振动的两个充分条件,将已有的某些结果在脉冲和多时滞等条件下进行了推广和改进,使其应用更加广泛。
對一類具有脈遲的多時滯差分方程進行瞭研究。通過構造輔助函數,藉助于反證法、單調有界原理、求和及確界運算等得到瞭方程振動的兩箇充分條件,將已有的某些結果在脈遲和多時滯等條件下進行瞭推廣和改進,使其應用更加廣汎。
대일류구유맥충적다시체차분방정진행료연구。통과구조보조함수,차조우반증법、단조유계원리、구화급학계운산등득도료방정진동적량개충분조건,장이유적모사결과재맥충화다시체등조건하진행료추엄화개진,사기응용경가엄범。
We studied the impulsive multi-delay difference equation by constructing auxiliary func‐tion ,and with the help of the absurdity ,monotone of function ,sum ,supremum and infimum .Two sufficient conditions were obtained for ocillation of all solutions ,and some results under the condi‐tion of impulse and multify delays in the literatures were improved and promoted .The results can be more widely available .