Geodesic
On one boundary value problem for the fourth-order equation in partial derivatives
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 39 (2022) no. 2, pp. 32-41

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he initial-boundary problem for the heat conduction equation inside a bounded domain is considered. It is supposed that on the boundary of this domain the heat exchange takes place according to Newton's law. The control parameter is equal to the magnitude of output of hot air and is defined on a givenmpart of the boundary. Then we determined the dependence T(Θ) on the parameters of the temperature process when Θ is close to critical value.
Keywords: boundary value problem, Fourier method, the existence of a solution, the uniqueness of a solution. 
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     author = {O. Sh. Kilichov and A. N. Ubaydullaev},
     title = {On one boundary value problem for the fourth-order equation in partial derivatives},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {32--41},
     publisher = {mathdoc},
     volume = {39},
     number = {2},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2022_39_2_a2/}
}
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O. Sh. Kilichov; A. N. Ubaydullaev. On one boundary value problem for the fourth-order equation in partial derivatives. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 39 (2022) no. 2, pp. 32-41. http://geodesic.mathdoc.fr/item/VKAM_2022_39_2_a2/