On the deficiency index of a certain class of differential operators |
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Authors: | I N Dolgikh |
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Institution: | (1) M. V. Lomonosov Pomor State University, Russia |
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Abstract: | This paper studies problems on the behavior of solutions for a certain class of differential equations of the form l
n
y = λy as x → +0, where l
n
is a scalar, formally self-adjoint, quasidifferential expression of an arbitrary order with complex coefficients. The results
obtained allow us to find the defficiency index of the operator generated by the expression l
n
.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 36, Suzdal
Conference-2004, Part 2, 2005. |
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Keywords: | |
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