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@article{EMJ_2011_2_3_a3, author = {Kh. K. Ishkin}, title = {On continuity of the spectrum of a~singular quasi-differential operator with respect to a~parameter}, journal = {Eurasian mathematical journal}, pages = {67--81}, publisher = {mathdoc}, volume = {2}, number = {3}, year = {2011}, language = {en}, url = {http://geodesic.mathdoc.fr/item/EMJ_2011_2_3_a3/} }
TY - JOUR AU - Kh. K. Ishkin TI - On continuity of the spectrum of a~singular quasi-differential operator with respect to a~parameter JO - Eurasian mathematical journal PY - 2011 SP - 67 EP - 81 VL - 2 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/EMJ_2011_2_3_a3/ LA - en ID - EMJ_2011_2_3_a3 ER -
Kh. K. Ishkin. On continuity of the spectrum of a~singular quasi-differential operator with respect to a~parameter. Eurasian mathematical journal, Tome 2 (2011) no. 3, pp. 67-81. http://geodesic.mathdoc.fr/item/EMJ_2011_2_3_a3/
[1] P. B. Bailey, M. K. Gordon, L. F. Shampine, “Automatic solution of the Sturm–Lioville problem”, ACM Trans. Math. Software, 4 (1978), 193–208 | DOI | MR | Zbl
[2] P. B. Bailey, W. N. Everitt, A. Zettl, “SLEIGN2: An eigenfunction – eigenvalue code for singular Sturm–Lioville problems”, ACM Trans. Math. Software, 21 (2001), 142–196
[3] V. I. Burenkov, Sobolev spaces on domains, Texts in Mathematics, 137, B. G. Teubner, Stuttgart–Leipzig, 1998 | MR | Zbl
[4] M. Dauge, B. Helffer, “Eigenvalues variation. II. Multidimensional problems”, J. Diff. Equations, 104 (1993), 263–297 | DOI | MR | Zbl
[5] C. T. Fulton, S. Pruess, “Mathematical software for Sturm–Lioville problems”, ACM Trans. Math. Software, 19 (1993), 360–376 | DOI | Zbl
[6] T. Kato, Perturbation theory for linear operators, Springer Verlag, Berlin–Heidelberg–New York, 1966 | MR | Zbl
[7] Q. Kong, A. Zettl, “Eigenvalues of regular Sturm–Liouville problems”, J. Diff. Equations, 131 (1996), 1–19 | DOI | MR | Zbl
[8] Q. Kong, H. Wu, A. Zettl, “Dependence of eigenvalues on the problem”, Math. Nachr., 188 (1997), 173–201 | DOI | MR | Zbl
[9] M. G. Krein, “The theory of self-adjoint extensions of semi-bounded Hermitian operators and its applications, II”, Mat. sb., 21(63):3 (1947), 365–404 (in Russian) | MR | Zbl
[10] M. Möller, A. Zettl, “Differentiable dependence of simple eigenvalues of operators in Banach spaces”, J. Operator Theory, 36 (1996), 335–355 | MR | Zbl
[11] M. A. Naimark, Linear differential operators, v. II, Ungar, New York, 1968 | MR | Zbl
[12] J. D. Pryce, “The NAG Sturm–Lioville codes and some applications”, NAG Newsl., 3 (1986), 4–26
[13] M. Reed, B. Simon, Methods of Modern Mathematical Physics, v. I, Functional Analysis, Academic Press, New York–London, 1972 | MR | Zbl
[14] M. Reed, B. Simon, Methods of modern mathematical physics, v. IV, Analysis of operators, Academic Press, New York–London, 1979 | MR | Zbl