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Ufimskii Matematicheskii Zhurnal, 2011, Volume 3, Issue 4, Pages 95–115
(Mi ufa121)
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This article is cited in 15 scientific papers (total 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.
Received: 15.06.2011
Citation:
S. I. Mitrokhin, “On spectral properties of a differential operator with summable coefficients with a retarded argument”, Ufa Math. J., 3:4 (2011)
Linking options:
https://www.mathnet.ru/eng/ufa121 https://www.mathnet.ru/eng/ufa/v3/i4/p95
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Abstract page: | 399 | Full-text PDF : | 155 | References: | 61 | First page: | 2 |
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