首页|On the Method of Solution for the Non-Homogeneous Generalized Riemann-Hilbert Boundary Value Problems
On the Method of Solution for the Non-Homogeneous Generalized Riemann-Hilbert Boundary Value Problems
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This paper studies the non-homogeneous generalized Riemann-Hilbert(RH)problems involving two unknown functions.Using the uniformization theorem,such problems are transformed into the case of homogeneous type.By the theory of classical boundary value problems,we adopt a novel method to obtain the sectionally analytic solutions of problems in strip domains,and analyze the conditions of solvability and properties of solutions in various domains.
Generalized Riemann-Hilbert problemUniformization theoremAnalytic solutionSokhotski-Plemelj formula
ZHANG Wen-wen、LI Ping-run
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School of Mathematical Sciences,Qufu Normal University,Qufu 273165,China
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