Two-sided asymptotics of the number of proper values of a nonsemibounded Dirac operator

I. S. Sargsyan


Abstract: In this work is studied the asymptotic behavior of the number of proper values of the differential operator induced by a system of two ordinary differential equations of the first order. A method for computing two-sided asymptotics of the proper values of nonsemibounded selfadjoint differential operators is proposed.

UDC: 513.88

MSC: Primary 34B25, 47E05; Secondary 47A10

Received: 27.12.1971

 English version: Mathematics of the USSR-Izvestiya, 1972, 6:6, 1381–1420

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