On the problem with generalized operators of fractional differentiation for mixed type equation with two degeneracy lines

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki

Svetlana Kanshubievna Kumykova¹  Oleg Aleksandrovich Repin² 

[1] Kabardino-Balkar State University;Samara State Technical University;

关键词: nonlocal problem;    regular solution;    operators of fractional integro-differentiation;    cauchy problem;    fredholm equation;    singular integral equation with cauchy kernel;    regularizer;    abel equation;   

DOI  :  10.14498/vsgtu1141

来源: DOAJ

【 摘 要 】

The nonlocal problem for mixed-type equation with perpendicular lines of degeneracy is investigated for the case when the Dirichlet condition is given on the elliptic boundary, and the generalized derivatives of the solution values on the characteristics are pointwise related to the solution and its normal derivatives values on the lines of a parabolic degeneracy in its hyperbolic parts.

【 授权许可】

Unknown