梧州学院学报
梧州學院學報
오주학원학보
JOURNAL OF WUZHOU UNIVERSITY
2014年
6期
12-17
,共6页
非线性中立型%变时滞%振动%Riccati变换
非線性中立型%變時滯%振動%Riccati變換
비선성중립형%변시체%진동%Riccati변환
Nonlinear Neutral%Variable delay%Oscillation%Riccati transformation
研究了一类二阶非线性中立型变时滞微分方程的振动性,通过引入参数函数和Riccati变换,并利用不等式的变分技巧,获得了这类方程振动的判别准则,这些准则改善了对方程的条件限制,所得结论推广和改进了现有文献中的一系列结果。
研究瞭一類二階非線性中立型變時滯微分方程的振動性,通過引入參數函數和Riccati變換,併利用不等式的變分技巧,穫得瞭這類方程振動的判彆準則,這些準則改善瞭對方程的條件限製,所得結論推廣和改進瞭現有文獻中的一繫列結果。
연구료일류이계비선성중립형변시체미분방정적진동성,통과인입삼수함수화Riccati변환,병이용불등식적변분기교,획득료저류방정진동적판별준칙,저사준칙개선료대방정적조건한제,소득결론추엄화개진료현유문헌중적일계렬결과。
The oscillation of certain second order nonlinear neutral differential equations with variable delay is discussed in this paper. By introducing the parameter function and the generalized Riccati transformation and using the inequality of variational techniques, some sufficient conditions for oscillation of the equation is proposed. These criteria can improve the restriction of the conditions for the equations. These results improve and generalize some corresponding results given in literature.