The limiting spectrum of a non-self-conjugate second-order differential operator with slowly varying coefficients

L. B. Zelenko

Saratov State University

Abstract: We describe the limiting spectrum $C(L)$ of the non-self-conjugate second-order differential operator $L$ with slowly varying coefficients, defined in $L^2(-\infty,\infty)$. The limiting spectrum is constructed from the spectra of operators with constant coefficients which are obtained from $L$ by “freezingrd”; the argument in the variable coefficients.

UDC: 517.9

Received: 25.01.1971

 English version: Mathematical Notes, 1973, 13:1, 80–86

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