Nonselfadjoint degenerate differential equations of higher order
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2014), pp. 24-29
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In this article we consider Dirichlet problem for some class of degenerate nonselfadjoint differential equations of higher order. We prove the existence and uniqueness of the generalized solution, establish analogue of the Keldysh theorem and explore the spectral properties of the corresponding operator.
Keywords:
degenerate differential equations, weighted Sobolev spaces, spectral theory of linear operators.
@article{UZERU_2014_2_a2,
author = {L. Tepoyan},
title = {Nonselfadjoint degenerate differential equations of higher order},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {24--29},
publisher = {mathdoc},
number = {2},
year = {2014},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2014_2_a2/}
}
TY - JOUR AU - L. Tepoyan TI - Nonselfadjoint degenerate differential equations of higher order JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 2014 SP - 24 EP - 29 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZERU_2014_2_a2/ LA - en ID - UZERU_2014_2_a2 ER -
L. Tepoyan. Nonselfadjoint degenerate differential equations of higher order. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2014), pp. 24-29. http://geodesic.mathdoc.fr/item/UZERU_2014_2_a2/