REFERENCES
Moiseev, E.I., Uravneniya smeshannogo tipa so spektral’nymi parametrami (Equations of Mixed Type with Spectral Parameters), Moscow, 1988.
Kukenov, T.M. and Sadybekov, M.A., in Tez. dokl. nauch. konf. “Kraevye zadachi i ikh spektral’nye voprosy dlya differentsial’nykh uravnenii” (Alma-Ata, mai 1991 g.) (Abstr. Sci. Conf. “Boundary Value Problems and Their Spectral Properties for Differential Equations,” Alma-Ata, May, 1991), Alma-Ata, 1991, p. 127.
Aldashev, S.A., Kraevye zadachi dlya mnogomernykh giperbolicheskikh i smeshannykh uravnenii (Boundary Value Problems for Multidimensional Hyperbolic and Mixed Equations), Almaty, 1994.
Aldashev, S.A., Differents. Uravn., 1998, vol. 34, no.1, pp. 64–68.
Aldashev, S.A., Dokl. NAN RK, 2002, vol. 3, pp. 5–7.
Nurzhanov, Sh.T., Darboux-Protter Problems for Degenerate Multidimensional Hyperbolic Equations, Cand. Sci. (Phys.-Math.) Dissertation, Almaty, 2000.
Mikhlin, S.G., Mnogomernye singulyarnye integraly i integral’nye uravneniya (Multidimensional Singular Integrals and Integral Equations), Moscow, 1962.
Tersenov, S.A., Vvedenie v teoriyu uravnenii, vyrozhdayushchikhsya na granitse (Introduction to the Theory of Equations Degenerate at the Boundary), Novosibirsk, 1973.
Nakhushev, A.M., Uravneniya matematicheskoi biologii (Equations of Mathematical Biology), Moscow, 1995.
Aldashev, S.A., Ukr. Mat. Zh., 2003, vol. 55, no.1, pp. 100–107.
Aldashev, S.A., Ukr. Mat. Zh., 2000, vol. 52, no.5, pp. 590–595.
Smirnov, V.I., Kurs vysshei matematiki (A Course of Higher Mathematics), Moscow, 1981, vol. 4, part 2.
Kolmogorov, A.N. and Fomin, S.V., Elementy teorii funktsii i funktsional’nogo analiza (Elements of Function Theory and Functional Analysis), Moscow, 1976.
Author information
Authors and Affiliations
Additional information
__________
Translated from Differentsial’nye Uravneniya, Vol. 41, No. 6, 2005, pp. 795–801.
Original Russian Text Copyright © 2005 by Aldashev.
Rights and permissions
About this article
Cite this article
Aldashev, S.A. A Criterion for the Existence of Eigenfunctions of the Darboux-Protter Spectral Problem for Degenerating Multidimensional Hyperbolic Equations. Diff Equat 41, 833–839 (2005). https://doi.org/10.1007/s10625-005-0222-2
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10625-005-0222-2