On the solvability of boundary-value problems with continuous and generalized gluing conditions for the equation of mixed type with loaded term

DOI10.1007/s11253-018-1474-3zbMath1421.35229OpenAlexW2792906979WikidataQ129633877 ScholiaQ129633877MaRDI QIDQ2321604

U. I. Baltaeva

Publication date: 23 August 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-018-1474-3

zbMATH Keywords

loaded equation of third order

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for PDEs of mixed type (35M12)

Related Items (7)

Solvability of the boundary-value problem for a linear loaded integro-differential equation in an infinite three-dimensional domain ⋮ Boundary-value problem for a loaded mixed-type equation with a characteristic line of type change ⋮ Solvability of a mixed problem with the integral gluing condition for a loaded equation with the Riemann-Liouville fractional operator ⋮ On unique solvability of a nonlocal boundary-value problem for a loaded multidimensional Chaplygin's equation in the Sobolev space ⋮ On a seminonlocal boundary value problem for a multidimensional loaded mixed type equation of the second kind ⋮ A numerical method for solving boundary value problem for essentially loaded differential equations ⋮ On the unique solvability of a seminonlocal boundary value problem for the loaded Chaplygin equation in a rectangle

Cites Work

• Solvability of the analogs of the problem Tricomi for the mixed type loaded equations with parabolic-hyperbolic operators
• Boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations
• Partial differential equations with piecewise constant delay
• The basis property of a system of root functions of a nonlocal problem for a third-order equation with a parabolic-hyperbolic operator
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