Geodesic
Some boundary value problems for an equation of the third order parabolic-hyperbolic type in a pentagonal area
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2016), pp. 34-42

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This article is an example of the application of methods for constructing solutions of integral and differential equations. Here we consider the equation of parabolic-hyperbolic type $\left(\frac{\partial}{\partial x} + \frac{\partial}{\partial y} \right)(Lu) = 0$ in a pentagonal area. We prove a theorem on the unique solvability of a set of two tasks.
Keywords: differential and integral equations, a method of constructing solutions, boundary problems, parabolic-hyperbolic type, unique solvability. 
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     author = {M. Mamajonov and S. M. Mamajonov and Kh. B. Mamadalieva},
     title = {Some boundary value problems for an equation of the third order parabolic-hyperbolic type in a pentagonal area},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
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     year = {2016},
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M. Mamajonov; S. M. Mamajonov; Kh. B. Mamadalieva. Some boundary value problems for an equation of the third order parabolic-hyperbolic type in a pentagonal area. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2016), pp. 34-42. http://geodesic.mathdoc.fr/item/VKAM_2016_2_a5/