摘要
本文考虑形如(-1)tDt(p(x)Dty)=λ(-D2)ry,x∈(a,b),Dky(a)=Dky(b)=0,k=0,1,2,…,t-1{的第二特征值λ2的上界问题,得到了定理1和定理2,其中定理1的估计系数与[a,b]无关,定理2的结果在一定条件下比定理1的好.
In this paper, we consider the upper bound of second eigenvalue about(-1)tDt(p(x)Dty)=λ(-D2)ry,x∈(a,b),Dky(a)=Dky(b)=0,k=0,1,2,…,t-1and obtained the Theorem 1 and Theorem 2. In some cases. The result of the Theorem 2 is better than the Theorem 1.
出处
《工科数学》
1997年第4期28-33,共6页
Journal of Mathematics For Technology