Geodesic
On one inner boundary problem with local
News of the Kabardin-Balkar scientific center of RAS, no. 1 (2008), pp. 140-151

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The singularity of inner general boundary problem for loading mixed equation of third order is investigated. At first, the non-local inner boundary problem with unknown $u(x,0) = \tau (x)$ on the line $y = 0$ is solved. Then this problem at $y > 0$ reduce to system of integral Voltera's equation of second order and at $y 0$ to Dalamber's solution. 
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     author = {V. A. Eleev and A. H. Kodzokov},
     title = {On one inner boundary problem with local},
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     year = {2008},
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V. A. Eleev; A. H. Kodzokov. On one inner boundary problem with local. News of the Kabardin-Balkar scientific center of RAS, no. 1 (2008), pp. 140-151. http://geodesic.mathdoc.fr/item/IZKAB_2008_1_a0/