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The spectral function of a second order functional-differential operator. (Russian) Zbl 0693.34070

The paper deals with the asymptotic behavior of the spectral function corresponding to the boundary value problem \[ -u''(x)+q(x)u(x)+\sum^{n- 1}_{k=1}\alpha_ ku(x_ k)=0,\quad u(0)=u(1)=0, \] where \(\alpha_ k\) are given complex numbers and \(x_ k=k\pi /n\) \((k=1,2,...,n-1)\). In particular, the dependence of the spectral function on the coefficient q(x) is studied.
Reviewer: M.Tvrdy

MSC:

34K10 Boundary value problems for functional-differential equations
34L99 Ordinary differential operators
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