Literature Cited
M. V. Keldysh, On certain cases of degenerate elliptical-type equations at the region boundary, Doklady Ak. Nauk SSSR,77, No. 2 (1955), pp. 181–183.
A. V. Bitsadze, Mixed-Type Equations [in Russian], Izd. Ak. Nauk SSSR, Moscow (1959).
I. N. Vekua, Generalized Analytical Functions [in Russian], Gostekhizdat, Moscow (1959).
J. Lehre and I. Schauder, Topology and functional equations, Uspekhi Matem. Nauk,1, Nos. 3–4 (1946), pp. 71–96.
S. A. Tersenov, Contribution to the theory of elliptical-type equations which degenerate at the region boundary, Sib. Matem. Zh.,6, No. 5 (1965), pp. 1120–1143.
A. Weinstein, Discontinuous integrals and generalized potential theory, Trans. Amer. Math. Soc.,63, No. 2 (1948), pp. 342–354.
L. Bers and A. Gelbart, On a class of differential equations in mechanics of continua, Quart. app. Math.,1, No. 1 (1943), pp. 168–201.
Yu. P. Krivenkov, On a certain presentation of solutions of the Euler-Poisson-Darboux equation, Doklady Ak. Nauk SSSR,116, No. 3 (1957), pp. 351–354.
E. T. Whittaker and D. N. Watson, Course in Modern Analysis [Russian translation], Vol. 2. Gostekhizdat Moscow, (1963).
I. I. Danilyuk, On the problem with a sloping derivative, Sib. Matem. Zh.,3, No. 1 (1962), pp. 17–55.
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 7, No. 1, pp. 167–191, January–February, 1966
Rights and permissions
About this article
Cite this article
Tersenov, S.A. On the Riemann-Hilbert problem for an elliptical system of first-order equations which degenerates at the boundary. Sib Math J 7, 133–153 (1966). https://doi.org/10.1007/BF00967823
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00967823