Geodesic
The self-adjointness conditions for a~higher order differential operator with an~operator coefficient
Matematičeskie zametki, Tome 5 (1969) no. 6, pp. 697-707.

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Certain sufficient conditions are found for self-adjointness of the differential operator generated by the expressionl $$ l(y)=(-1)^ny^{2n}+Q(x)y, \quad -\infty\infty, $$ 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 $$ \int_{-\infty}^\infty\|y\|_H^2\,dx\infty. $$ 
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     author = {M. G. Gimadislamov},
     title = {The self-adjointness conditions for a~higher order differential operator with an~operator coefficient},
     journal = {Matemati\v{c}eskie zametki},
     pages = {697--707},
     publisher = {mathdoc},
     volume = {5},
     number = {6},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_6_a6/}
}
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M. G. Gimadislamov. The self-adjointness conditions for a~higher order differential operator with an~operator coefficient. Matematičeskie zametki, Tome 5 (1969) no. 6, pp. 697-707. http://geodesic.mathdoc.fr/item/MZM_1969_5_6_a6/