Journal of Inequalities and Applications (Oct 2020)
The solvability of a kind of generalized Riemann–Hilbert problems on function spaces H ∗ $H_{\ast }$
Abstract
Abstract In this paper, we study a kind of generalized Riemann–Hilbert problems (R-HPs) with several unknown functions in strip domains. We mainly discuss methods of solving R-HPs with two unknown functions and obtain general solutions and conditions of solvability on function spaces H ∗ $H_{\ast }$ . At the end of this paper, we consider in detail the behavior of the solution at ∞ and in different domains. Thus the results in this paper generalize and improve the theory of the classical Riemann–Hilbert problems.
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