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JOURNALS // Ufimskii Matematicheskii Zhurnal // Archive

Ufimsk. Mat. Zh., 2011 Volume 3, Issue 4, Pages 95–115 (Mi ufa121)

This article is cited in 15 papers

On spectral properties of a differential operator with summable coefficients with a retarded argument

S. I. Mitrokhin

Research Computer Center, Lomonosov Moscow State University, Moscow, Russia

Abstract: The paper considers spectral properties of differential operators of the sixth order with a retarded argument. It is supposed that coefficients of the operator are summable functions on a segment. One can study 36 kinds of boundary-valued conditions simultaneously by one method. The asymptotics of eigenvalues of the differential operator is also calculated.

Keywords: differential operator, summable coefficients, retarded argument, asymptotics of eigenvalues, asymptotics of solutions.

UDC: 517.929

Received: 15.06.2011



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