A nonlocal problem for a mixed-type equation whose order degenerates along the line of change of type

DOI10.3103/S1066369X13080069zbMath1286.35173OpenAlexW2030244248MaRDI QIDQ2439386

Oleg A. Repin, Svetlana K. Kumykova

Publication date: 14 March 2014

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x13080069

zbMATH Keywords

Dirichlet problemCauchy problemregularizerFredholm equationsingular integral equation with Cauchy kernelfractional integro-differential operatorsSaigo operators in the boundary condition

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Boundary value problems for PDEs of mixed type (35M12)

Related Items (8)

Нелокальная задача для уравнения с частной производной дробного порядка ⋮ Problem with generalized fractional differentiation operators for a hyperbolic equation degenerating in the interior of the domain ⋮ On a nonlocal problem for a third-order equation of mixed type with multiple characteristics ⋮ A nonlocal problem for degenerate hyperbolic equation ⋮ Внутреннекраевая задача с операторами Римана-Лиувилля для уравнения смешанного типа третьего порядка ⋮ Об одной нелокальной задаче для уравнения Эйлера-Дарбу ⋮ Задача с операторами Сайго для вырождающегося внутри области гиперболического уравнения ⋮ Divided Optimal Control for Parabolic-Hyperbolic Equation with Non-local Pointed Boundary Conditions and Quadratic Quality Criterion

Cites Work

• On general conditions for the existence of certain solutions of the equations of plane transonic flow. I: The Dirichlet problem
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