On solution of a kind of Riemann boundary value problem with square roots. (English) Zbl 1046.30024
This is the continuation of the earlier work of the author and H. Liu [A generalized Riemann boundary value problem, Wuhan Univ. J. Nat. Sci. 5, No. 2, 147–149 (2000; Zbl 1044.30508)]. Let \(L\) be a smooth closed contour in the complex plane. The author in a Hölder function space considers the Riemann boundary value problem
\[
\sqrt{\psi^-(t)}= G(t)\sqrt{\psi^-(t)}+ g(t),\quad t\in L
\]
under weaker conditions.
Reviewer: Zbigniew Binderman (Warszawa)
MSC:
30E25 | Boundary value problems in the complex plane |
45E05 | Integral equations with kernels of Cauchy type |