article · Izvestiya Mathematics · 2004
Closed spans in vector-valued function spaces and their approximative properties
Cited by 12Open access
Abstract
We consider the following fourth-order boundary-value problem:(py )qy = ry, y(0) = y (0) = y (1) = (py )qy (1) + my(1) = 0 with spectral parameter C and physical parameter m R. We assign to this problem a linear pencil of bounded operators Tm = Tm() depending on the physical parameter m and acting from H 2 = y | y W 2 2 [0, 1], y(0) = y (0) = 0 to the dual space H -2 .We study the spectral properties of Tm and use the results of this study to describe properties of the eigenvalues of the problem for various values of m.In particular, we establish asymptotics of these eigenvalues as m 0.
Cite this paper
Васильева, А. А. (2004). Closed spans in vector-valued function spaces and their approximative properties. Izvestiya Mathematics, 68(4), 709–747. https://doi.org/10.1070/im2004v068n04abeh000496
Васильева, А. А. “Closed spans in vector-valued function spaces and their approximative properties.” Izvestiya Mathematics, vol. 68, no. 4, 2004, pp. 709–47, https://doi.org/10.1070/im2004v068n04abeh000496.
Васильева, А. А. 2004. “Closed spans in vector-valued function spaces and their approximative properties.” Izvestiya Mathematics 68 (4): 709–47. https://doi.org/10.1070/im2004v068n04abeh000496.
Васильева, А.А. (2004) ‘Closed spans in vector-valued function spaces and their approximative properties’, Izvestiya Mathematics, 68(4), pp. 709–747. Available at: https://doi.org/10.1070/im2004v068n04abeh000496.
@article{anon2004closed,
title = {{Closed spans in vector-valued function spaces and their approximative properties}},
author = {Васильева, А. А.},
journal = {Izvestiya Mathematics},
volume = {68},
number = {4},
pages = {709--747},
year = {2004},
doi = {10.1070/im2004v068n04abeh000496}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.