S. R. Nasyrov, L. Yu. Nizamieva, “Gakhov equation for external mixed inverse boundary value problem on Riemann surfaces with branch-point of arbitrary order over the infinity”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, Issue 4(70),Pages <nobr>30

This article is cited in 1 paper

Mathematics

Gakhov equation for external mixed inverse boundary value problem on Riemann surfaces with branch-point of arbitrary order over the infinity

S. R. Nasyrov^a, L. Yu. Nizamieva^b

^a Dept. of Mechanics and Mathematics, Kazan State University Kazan, 420008, Russia
^b Dept. of Natural Sciences, Kazan Cooperation Institute Kazan, 420045, Russia

Abstract: We prove the solvability of an analog of the Gakhov equation for an external mixed inverse boundary value problem on a polygonal Riemann surface with a unique branch-point over the infinity.

Keywords: mixed inverse boundary value problem, Gakhov's equation, rotation of vector field, Riemann surface, boundary value problems with free boundaries, polyanalytical functions.

UDC: 517.54

Received: 18.03.2009
Revised: 18.03.2009