The New Approach to Solving the Riemann Boundary Value Problem with Infinite Index

Kazan State University of Architecture and Engineering, 1, Zelenaya str., 420043, Kazan, Tatarstan, Russia, salimov@5354.ru,enkarabasheva@bk.ruThisresearchconsidersRiemann–Hilbertboundaryvalueproblemwithinfiniteindexwhereedgeconditionofproblemisestablishedby the real axis. To solve this problem the approach based on the removal of the infinite discontinuity of the argument of boundaryconditioncoefficientisused.Theapproachisanalogoustotheonewhich,inthecontextofthefiniteindexoftheprobleminresearchesby F. D. Gakhov, helps to remove a discontinuity of initial genre of boundary condition coefficient with specially created functions,different from the ones in this research.