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On estimating eigenvalues of a second order linear differential operator. (English) Zbl 0625.34019

General inequalities 5, 5th Int. Conf., Oberwolfach/FRG 1986, ISNM 80, 347-366 (1987).
[For the entire collection see Zbl 0621.00004.]
For an eigenvalue problem on \(I_ 0=(0,1)\), we determine the maxima and infima of all eigenvalues when the coefficient p in the operator \(- y''+py\) is allowed to vary in the class of all integrable functions with \(\int p_+=B\) or \(\int p_-=B\) where we integrate over the interval \(I_ 0\).

MSC:

34L99 Ordinary differential operators

Citations:

Zbl 0621.00004