ASYMPTOTIC-BEHAVIOR OF THE ANALYTIC SOLUTION OF THE DIFFERENTIAL-EQUATION Y'(T)+Y(QT)=O AS Q -] 1-

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:41

Article

ELBERT, A

关键词: DELAY DIFFERENTIAL EQUATIONS;    SINGULAR INTEGRAL EQUATIONS;    ASYMPTOTIC BEHAVIOR;   

DOI  :  10.1016/0377-0427(92)90233-N

来源: Elsevier

【 摘 要 】

The differential equation in the title has (essentially) one analytic solution y(t, q). Continuing the investigations of Feldstein and Kolb on the zeros t(i)(q) of the solution, first we establish the relation t(i)(q) = iq(-i+1)[1 + O(1/i2)] as i --> infinity, q fixed, then we determine the asymptotic distribution of the zeros and the limit \y(tau/epsilon, q)\epsilon as epsilon --> + 0, where epsilon = 1 - q and tau fixed.

【 授权许可】

Free