Geodesic
Solvability of a non--local problem for a third---order equation with the heat operator in the main par
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 30 (2020) no. 1, pp. 20-30

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In this paper, we considered the solvability of a nonlocal problem with integral condition for a thirdorder equation with head operatot in the main part. The existence and uniqueness of a regular solution to this problem are proved. The proof is based on reducing a non-local problem to the mixed problem for a loaded heat equation
Keywords: boundary–value problem, non–local problem, Green's function, Volterra integral equation.
Mots-clés : non–local condition, parabolic equation 
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     author = {O. S. Zikirov and M. M. Sagdullayeva},
     title = {Solvability of a non--local problem for a third---order equation with the heat operator in the main par},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
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O. S. Zikirov; M. M. Sagdullayeva. Solvability of a non--local problem for a third---order equation with the heat operator in the main par. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 30 (2020) no. 1, pp. 20-30. http://geodesic.mathdoc.fr/item/VKAM_2020_30_1_a1/