On mixed problem of Chaplygin's hodograph equation in hyperbolic domain near the parabolic degenerate line

2021 ◽  
Author(s):  
Meng Xu
Keyword(s):  
Mixed Problem ◽  
Hyperbolic Domain

Classical and generalized of a mixed problem– solutions for a non-homogeneous wave equation

2019 ◽  
Vol 484 (1) ◽  
pp. 18-20
Author(s):  
A. P. Khromov ◽  
V. V. Kornev
Keyword(s):  
Wave Equation ◽  
Fourier Series ◽  
Mixed Problem ◽  
Homogeneous Equation ◽  
Generalized Solution ◽  
Problem Solution ◽  
Homogeneous Wave ◽  
Homogeneous Wave Equation ◽  
Explicit Expressions

This study follows A.N. Krylov’s recommendations on accelerating the convergence of the Fourier series, to obtain explicit expressions of the classical mixed problem–solution for a non-homogeneous equation and explicit expressions of the generalized solution in the case of arbitrary summable functions q(x), ϕ(x), y(x), f(x, t).

A mixed problem for a class of equations of third order

1982 ◽  
Vol 22 (6) ◽  
pp. 867-872 ◽  
Author(s):  
A. I. Kozhanov ◽  
N. A. Lar'kin ◽  
N. N. Yanenko
Keyword(s):  
Mixed Problem ◽  
Third Order
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