Geodesic
The solution of Tricomi problem for the mixed type equation with Bessel operator with the method of the theory of the integral equations
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 117 (2008) no. 2, pp. 29-37 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this article the existence and uniqueness of Tricomi problem solution is proven for Lavrentiev–Bizadze equation with the Bessel operator: $$ x^{-k}\frac\partial{\partial x}\biggl(x^k\frac{\partial u}{\partial x}\biggr)+\operatorname{sign}y\frac{\partial^2u}{\partial y^2}=0 $$ in $D$ area limited with the rectifiable $\Gamma$ curve, $Oy$ axis and $OC\colon x+y=0$ and $BC\colon x-y=1$ characteristics, by method of the integral equations.
Keywords: the equation of mixed type, Tricomi problem, $B$-hyperbolic equation, $N$ problem, Cauchy problem.
Mots-clés : $B$-elliptic equation 
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R. M. Safina. The solution of Tricomi problem for the mixed type equation with Bessel operator with the method of the theory of the integral equations. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 117 (2008) no. 2, pp. 29-37. http://geodesic.mathdoc.fr/item/VSGTU_2008_117_2_a3/

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