葛禮霞 季丹丹 劉海明



摘 要:研究具有脈沖的多時滯差分方程,通過構造輔助函數,借助于反證法、單調有界原理及函數的連續性,得到了方程振動的兩個充分條件,將某些結論在脈沖和多時滯的條件下進行改進和推廣,使其應用更加廣泛.
關鍵詞:連續變量;脈沖時滯差分方程;振動性
[中圖分類號]O175.7 [文獻標志碼]A
文章編號:1003-6180(2018)02-0026-04
Abstract:In this paper,it is considered that the impulsive several delays difference equation, It is used the method of constructing auxiliary function, With the help of the absurdity、monotone of Function, the two sufficient conditions are obtained for ocillation of all solutions and some results of impulsive and several delays are improved and promoted. The results are more widely available.
Key words:continuous arguments;impulsive delay difference equation;oscillation
參考文獻
[1] Ladas.G , Pakula.L , Wang.Z. Necessary and sufficient conditions for the oscillation of difference equations[J].Pan.Amer.Math.1992,2(1):11-13.
[2] Yu Jianshe, Zhang Binggenand Qian Xiangzheng.Oscillation of delay difference equation with oscillating coefficients[J].Math.Anal.Appl, 1993,177:432-444.
[3] Zhou Yong.Oscillatory Behavior of Delay Difference Equations[M].Beijing:Science Press,2007.32-48.
[4] 黃梅,申建華.具連續變量的偶數階中立型差分方程的振動性[J].純粹數學與應用數學,2006,22(3):399-404.
[5] 蔡果蘭,郭繼軍,王學寶.一類連續變量脈沖中立性差分方程[J].數學的實踐與認識,2009,39(22):190-192.
[6] 韓振來.具有連續變量的非線性時滯差分方程的振動性[J].應用數學與計算數學學報,1999,13(1):60-64.
[7] 葛禮霞,劉海明,姬春秋,苗佳晶.一類具有正負系數的脈沖時滯差分方程的振動性[J].數學的實踐與認識,2011,41(22):242-246.
[8] 葛禮霞,季丹丹,劉海明.非線性多時滯脈沖差分方程的振動性[J].山東理工大學學報:自然科學版,2015,29(6):36-38.
[9] 魏耿平,申建華.具連續變量差分方程非振動解在脈沖擾動下的保持性[J].數學物理學報,2006,26A(4):595-600.
編輯:吳楠