Systems of first order partial differential equations with singular lines
Abstract
The main purpose of present paper consists in investigation of an systems of partial differential equations with singular lines in the plane. For such systems the initial value problem is solved.References
[1]Vekua I.N. Generalized analytic functions. Pergamon, Oxford. 1962, P. 628
[2]Tungatarov A. On contiuous soutions of the Carleman- Vekua equation with a singular point. Soviet Math. Dokl., Vol. 44, 1992, pp. 175-178
[3]Akhmed-Zaki D.K., Danayev N.T., Tungatarov A. Elliptic systems in the plane with singular coefficients along lines. TWMS Journal of Pure and Applied Mathematics, V.3, N.1, 2012
[4]Usmanov Z.D. Infinitesimal curvings of positive curvatures surfaces with a point of flattening. Differential Geometry. Warsaw: Banach center publications, Vol. 12, 1984, pp. 241-272
[5]Usmanov Z.D. On variety of solutions of generalized Cauchy - Riemann systems with a singular line. Complex variebles. Vol. 48, 4, 2003, pp. 293-299
[6]Usmanov Z.D. Generalized Cauchy - Riemann systems with a singular point. Complex variebles. Vol. 26, 1994, pp. 41-52
[2]Tungatarov A. On contiuous soutions of the Carleman- Vekua equation with a singular point. Soviet Math. Dokl., Vol. 44, 1992, pp. 175-178
[3]Akhmed-Zaki D.K., Danayev N.T., Tungatarov A. Elliptic systems in the plane with singular coefficients along lines. TWMS Journal of Pure and Applied Mathematics, V.3, N.1, 2012
[4]Usmanov Z.D. Infinitesimal curvings of positive curvatures surfaces with a point of flattening. Differential Geometry. Warsaw: Banach center publications, Vol. 12, 1984, pp. 241-272
[5]Usmanov Z.D. On variety of solutions of generalized Cauchy - Riemann systems with a singular line. Complex variebles. Vol. 48, 4, 2003, pp. 293-299
[6]Usmanov Z.D. Generalized Cauchy - Riemann systems with a singular point. Complex variebles. Vol. 26, 1994, pp. 41-52
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