Abstract
We consider problems with point initial data for first-order partial differential equations in a half-strip. The equations contain degeneration with respect to one of the variables. We prove the existence and uniqueness of smooth solutions bounded in a neighborhood of the degeneration. The structure of the considered solutions is established. Such problems arise when solving the Cauchy problem for a system of ordinary differential equations with a movable regular singular point.
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Original Russian Text © I.S. Lomov, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 5, pp. 723–729.
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Lomov, I.S. Nonclassical statements of problems for degenerate partial differential equations. Diff Equat 48, 730–736 (2012). https://doi.org/10.1134/S0012266112050114
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DOI: https://doi.org/10.1134/S0012266112050114