系统科学与数学
繫統科學與數學
계통과학여수학
JOURNAL OF SYSTEMS SCIENCE AND MATHEMATICAL SCIENCES
2010年
4期
501-514
,共14页
强迫项%脉冲%微分方程%振动性%渐近性
彊迫項%脈遲%微分方程%振動性%漸近性
강박항%맥충%미분방정%진동성%점근성
Forcing term%impulsive%differential equation%oscillation%asymptotic prop erty
给出引理,解决了一类带强迫项的n阶脉冲微分方程的非振动解与其各阶导数的符号关系,得到其振动性与渐近性的判别准则,并举例说明准则的有效性.
給齣引理,解決瞭一類帶彊迫項的n階脈遲微分方程的非振動解與其各階導數的符號關繫,得到其振動性與漸近性的判彆準則,併舉例說明準則的有效性.
급출인리,해결료일류대강박항적n계맥충미분방정적비진동해여기각계도수적부호관계,득도기진동성여점근성적판별준칙,병거례설명준칙적유효성.
This paper presents a lemma to deal with the sign relation between the nonoscillatory solutions with their derived functions for a class of nth-order impulsive differential equations with forcing term. Some criterions about the oscillation and asymptotic property of the solutions to the equations are obtained. Finally two examples are given to illustrate the effectiveness of these criterions.
