On a Class of Singular Integral Equations with Translations
Citation:
Du Jinyuan(杜金元),Lu Jianke(路见可).On a Class of Singular Integral Equations with Translations[J].Chinese Annals of Mathematics B,1990,11(1):105~117
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Authors:
Du Jinyuan(杜金元); Lu Jianke(路见可)
Abstract:
In this paper, singular integral equations with upper and lower translations aro discussed and the equivalence for solving them in fl and aro shown. Equations with a single pair of upper and lower translations are studiod in detail. Their solutions as well-as-the conditions of solvability are obtained. The method used consists of transferring-them to boundary value problems of analytic functions in upper and lower half-planea and then solving the latter.