数学进展
數學進展
수학진전
ADVANCES IN MATHEMATICS
2008年
5期
551-560
,共10页
振动性%中立型阻尼泛函微分方程%分布偏差变元
振動性%中立型阻尼汎函微分方程%分佈偏差變元
진동성%중립형조니범함미분방정%분포편차변원
oscillation%neutral damped differential equation%distributed deviating argu ment
考虑一类具有分布偏差变元的偶数阶中立型阻尼泛函微分方程的振动性,利用积分平均技巧和Riccati变换,获得了该类方程振动的几个准则,推广了现有文献的一些结果,并给出了几个应用实例.
攷慮一類具有分佈偏差變元的偶數階中立型阻尼汎函微分方程的振動性,利用積分平均技巧和Riccati變換,穫得瞭該類方程振動的幾箇準則,推廣瞭現有文獻的一些結果,併給齣瞭幾箇應用實例.
고필일류구유분포편차변원적우수계중립형조니범함미분방정적진동성,이용적분평균기교화Riccati변환,획득료해류방정진동적궤개준칙,추엄료현유문헌적일사결과,병급출료궤개응용실례.
In this paper,by means of the Riccati transformation technique and the integral averaging technique, we establish some oscillatory theorems for certain even order neutral damped differential equations with distributed deviating arguments, and extend several known results. Some examples are provided to illustrate our main results.