Riemann Boundary Value Problem with Square Roots on the Real Axis

Autor: Ying Wang, Shouguo Zhong, Pei Dang
Rok vydání: 2017
Předmět:
Zdroj: Trends in Mathematics ISBN: 9783319488103
Popis: In this paper, we consider the Riemann boundary value problem with square roots on the real axis X $$\displaystyle{ \sqrt{\Psi ^{+ } (x)} = G(x)\sqrt{\Psi ^{- } (x)} + g(x),\ \ \ x \in X, }$$ in which a sectionally holomorphic unknown function \(\Psi (z)\) having some zeros in the upper and lower half-planes, and we obtain the solution and solvability condition explicitly.
Databáze: OpenAIRE