黑龙江大学自然科学学报
黑龍江大學自然科學學報
흑룡강대학자연과학학보
JOURNAL OF NATURAL SCIENCE OF HEILONGJIANG UNIVERSITY
2010年
1期
30-33
,共4页
分段连续%延迟Logistic方程%Runge-Kutta方法%伪解%稳定
分段連續%延遲Logistic方程%Runge-Kutta方法%偽解%穩定
분단련속%연지Logistic방정%Runge-Kutta방법%위해%은정
piecewise continuous%delay logistic equations%Runge-Kutta methods%spurious solutions%stable
研究对分段连续型延迟Logistic方程直接运用Runge-Kutta方法会产生伪解,从而建立了不产生伪解的Runge-Kutta方法,讨论了该方法的收敛阶,证明了该方法在一定条件下是局部和全局渐近稳定的.
研究對分段連續型延遲Logistic方程直接運用Runge-Kutta方法會產生偽解,從而建立瞭不產生偽解的Runge-Kutta方法,討論瞭該方法的收斂階,證明瞭該方法在一定條件下是跼部和全跼漸近穩定的.
연구대분단련속형연지Logistic방정직접운용Runge-Kutta방법회산생위해,종이건립료불산생위해적Runge-Kutta방법,토론료해방법적수렴계,증명료해방법재일정조건하시국부화전국점근은정적.
It is shown that spurious solutions are obtained when Runge-Kutta method is directly applied to the delay logistic equations with piecewiso continuous arguments. Runge-Kutta method which does not admit spurious solutions is constructed. The convergent order of this method is investigated. It is shown that this method is locally asymptotically stable and globally asymptotically stable under certain conditions.
