仲恺农业工程学院学报
仲愷農業工程學院學報
중개농업공정학원학보
JOURNAL OF ZHONGKAI UNIVERSITY OF AGRICULTURE AND TECHNOLOGY
2014年
3期
41-47
,共7页
泛函微分方程%脉冲%振动性%渐近性%比较原理
汎函微分方程%脈遲%振動性%漸近性%比較原理
범함미분방정%맥충%진동성%점근성%비교원리
functional differential equation ( FDE)%impulses%oscillation%asymptotic behavior%compar-ison principle
研究了一类带脉冲的高阶线性泛函微分方程，建立了无脉冲的微分方程的振动性和渐近性的比较原理，在此比较原理下得到了带脉冲的高阶线性泛函微分方程一些有用结论，通过寻找适当的脉冲函数可保证方程解的振动性和渐近性。最后通过实例验证了相关结论。
研究瞭一類帶脈遲的高階線性汎函微分方程，建立瞭無脈遲的微分方程的振動性和漸近性的比較原理，在此比較原理下得到瞭帶脈遲的高階線性汎函微分方程一些有用結論，通過尋找適噹的脈遲函數可保證方程解的振動性和漸近性。最後通過實例驗證瞭相關結論。
연구료일류대맥충적고계선성범함미분방정，건립료무맥충적미분방정적진동성화점근성적비교원리，재차비교원리하득도료대맥충적고계선성범함미분방정일사유용결론，통과심조괄당적맥충함수가보증방정해적진동성화점근성。최후통과실례험증료상관결론。
A kind of higher order multi-delay linear functional differential equation (FDE) with impulses was studied .The comparison principle was established for the oscillation and asymptotic behavior of the solution .Several criteria on the oscillation and asymptotic behavior of solutions were given by the compar-ison principle .Some suitable impulse functions could be found to ensure that all the solutions of the e-quation were oscillatory and asymptotic behavior under the impulse control .At last, those results were il-lustrated with some examples .
