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Matematicheskie Zametki, 1969, Volume 5, Issue 6, Pages 697–707
(Mi mzm6883)
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This article is cited in 4 scientific papers (total in 4 papers)
The self-adjointness conditions for a higher order differential operator with an operator coefficient
M. G. Gimadislamov Fortieth Anniversary of October Bashkirian State University, USSR
Abstract:
Certain sufficient conditions are found for self-adjointness of the differential operator generated by the expressionl
$$
l(y)=(-1)^ny^{2n}+Q(x)y, \quad -\infty<x<\infty,
$$
where $Q(x)$ is for each fixed value of $x$ a bounded self-adjoint operator acting from the Hilbert space $H$ into $H$, and $y(x)$ is a vector function of $H_1$ for which
$$
\int_{-\infty}^\infty\|y\|_H^2\,dx<\infty.
$$
Received: 02.09.1968
Citation:
M. G. Gimadislamov, “The self-adjointness conditions for a higher order differential operator with an operator coefficient”, Mat. Zametki, 5:6 (1969), 697–707; Math. Notes, 5:6 (1969), 416–422
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Abstract page: | 167 | Full-text PDF : | 60 | First page: | 1 |
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