The Tricomi problem for a functionally-differential mixed-composite equation

2018 ◽  
Vol 482 (5) ◽  
pp. 494-499
Author(s):  
A. Zarubin ◽  
Keyword(s):  
Tricomi Problem ◽  
Composite Equation

CONTINUOUS ON RAYS SOLUTIONS OF A GOŁA̧B–SCHINZEL TYPE EQUATION

2014 ◽  
Vol 91 (2) ◽  
pp. 273-277 ◽  
Author(s):  
JACEK CHUDZIAK
Keyword(s):  
Linear Space ◽  
Type Equation ◽  
Composite Equation ◽  
Continuity On Rays ◽  
Image Position

AbstractWe show that if the pair $(f,g)$ of functions mapping a linear space $X$ over the field $\mathbb{K}=\mathbb{R}\text{ or }\mathbb{C}$ into $\mathbb{K}$ satisfies the composite equation $$\begin{eqnarray}f(x+g(x)y)=f(x)f(y)\quad \text{for }x,y\in X\end{eqnarray}$$ and $f$ is nonconstant, then the continuity on rays of $f$ implies the same property for $g$. Applying this result, we determine the solutions of the equation.

On an integral representation of the Neumann—Tricomi problem for the Lavrent’ev–Bitsadze equation

2015 ◽  
Vol 51 (8) ◽  
pp. 1065-1071 ◽  
Author(s):  
E. I. Moiseev ◽  
T. E. Moiseev ◽  
G. O. Vafodorova
Keyword(s):  
Integral Representation ◽  
Tricomi Problem

scholarly journals TRICOMI PROBLEM FOR THE ELLIPTIC-HYPERBOLIC EQUATION OF THE SECOND KIND

2011 ◽  
Vol 19 (2) ◽  
pp. 111-127 ◽  
Author(s):  
M.S. Salahitdinov ◽  
N.K. Mamadaliev
Keyword(s):  
Hyperbolic Equation ◽  
Tricomi Problem

On the Nonlinear Tricomi Problem

1993 ◽  
Vol 12 (4) ◽  
pp. 677-682
Author(s):  
A. Scholl
Keyword(s):  
Tricomi Problem

Generalization of the Tricomi Problem

2019 ◽  
Vol 55 (8) ◽  
pp. 1084-1093
Author(s):  
M. Mirsaburov ◽  
O. Begaliev ◽  
N. Kh. Khurramov
Keyword(s):  
Tricomi Problem
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