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Singular integral equations of convolution type with Hilbert kernel and a discrete jump problem
2017
Advances in Difference Equations
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One class of singular integral equations of convolution type with Hilbert kernel is studied in the space L 2 [-π , π] in the article. Such equations can be changed into either a system of discrete equations or a discrete jump problem depending on some parameter via the discrete Laurent transform. We can thus solve the equations with an explicit representation of solutions under certain conditions. MSC: 45E10; 45E05; 30E25
doi:10.1186/s13662-017-1413-x
fatcat:zmpvcyx5bndhdplbcsjjw5vytu