Yuksel, UgurYüksel, UğurMathematics2024-07-052024-07-05201121747-693310.1080/17476933.2010.4872062-s2.0-79958855319https://doi.org/10.1080/17476933.2010.487206https://hdl.handle.net/20.500.14411/1568This article deals with the Schwarz problem [image omitted] where is a regular domain of the complex plane. Sufficient conditions on the coefficients of the differential equation are obtained under which the operator of the corresponding problem for a system of integral equations is contractive in a certain Holder space. This leads to the existence of a unique solution of the original problem.eninfo:eu-repo/semantics/closedAccessSchwarz problemcontractive mappingboundary value problemArticleQ2Q3566503511WOS:000291535900002