Geodesic
The existence of the eigenvalues for dirac’s two-parameter boundary-value problem
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2006), pp. 25-32.

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The existence of eigenvalues for Dirac's two-parameter boundary-value problem is proved. 
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T. N. Harutyunyan; G. G. Sahakyan. The existence of the eigenvalues for dirac’s two-parameter boundary-value problem. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2006), pp. 25-32. http://geodesic.mathdoc.fr/item/UZERU_2006_2_a1/

[1] F.V. Atkinson, Multiparameter Eigenvalue Problems, v. 1, Academic Press, NY London, 1972 | MR | Zbl

[2] J. Faierman, “The completeness and expansion theorems associated with the multi-parameter eigenvalue problem in ordinary differential equations”, Diff. Eq., 5 (1969), 197–213 | DOI | MR | Zbl

[3] B.D. Sleeman, “Some aspects of Multi-parameter spectral theory”, Spectral theory and asymptotics of differential equations, 13, 1970, 81–94 | MR

[4] B.D. Sleeman, “Multi-parameter eigenvalue problems in ordinary differential equations”, Bull. Inst. Poli. Jazzy, 17:21 (1971), 51–60 | MR | Zbl

[5] P.J. Browne “A multi-parameter eigenvalue problem”, J. Math. Anal. and Applications, 38 (1972), 553–568 | DOI | MR | Zbl

[6] P.J. Browne, “Abstract multiparameter theory. I”, J. Math. Anal. and Appl., 60 (1977), 259–273 | DOI | MR | Zbl

[7] P.J. Browne, “Multiparameter problems: The last decade”, Lect. Notes Math., 964 (1982), 95–109 | DOI | MR | Zbl

[8] B.D. Sleeman, “Multiparameter spectral theory in Hilbert space”, J. Math. Anal. and Appl., 65 (1978), 511–530 | DOI | MR | Zbl

[9] A.G. Kostyuchenko, I.S. Sargsyan, Raspredelenie sobstvennykh znachenii, Nauka, M., 1979 | MR

[10] B.M. Levitan, I.S. Sargsyan, Operatory Shturma-Liuvillya i Diraka, Nauka, M., 1988 | MR