Geodesic
A boundary value problem for mixed type equation with singular coefficient
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 35 (2021) no. 2, pp. 27-39

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In this paper we study a boundary value problem for a mixed type equation in a domain whose elliptic part is the first quadrant of the plane and the hyperbolic part is the characteristic triangle. With the help of the method of integral equations and the principle of extremum we prove the unique solvability of the considered problem
Keywords: rinciple of extremum, unique solvability, solvability, index of equation, integral equations.
Mots-clés : singular coefficient 
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     author = {M. Kh. Ruziev and F. S. Aktamov},
     title = {A boundary value problem for mixed type equation with singular coefficient},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {27--39},
     publisher = {mathdoc},
     volume = {35},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2021_35_2_a2/}
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M. Kh. Ruziev; F. S. Aktamov. A boundary value problem for mixed type equation with singular coefficient. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 35 (2021) no. 2, pp. 27-39. http://geodesic.mathdoc.fr/item/VKAM_2021_35_2_a2/