Geodesic
On the solvability of a boundary-value problem for a third-order differential equation with multiple characteristics
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Mechanics, and Differential Equations, Tome 210 (2022), pp. 24-34

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In this paper, we discuss the unique solvability of a boundary-value problem for an inhomogeneous third-order partial differential equation with multiple characteristics. Using the Green function, we is construct a solution of this boundary-value problem in the explicit form.
Keywords: partial differential equation, third-order equation, equation with multiple characteristics, unique solvability, boundary-value problem. 
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     author = {Yu. P. Apakov and T. K. Yuldashev and A. Kh. Zhuraev},
     title = {On the solvability of a boundary-value problem for a third-order differential equation with multiple characteristics},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {24--34},
     publisher = {mathdoc},
     volume = {210},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2022_210_a3/}
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Yu. P. Apakov; T. K. Yuldashev; A. Kh. Zhuraev. On the solvability of a boundary-value problem for a third-order differential equation with multiple characteristics. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Mechanics, and Differential Equations, Tome 210 (2022), pp. 24-34. http://geodesic.mathdoc.fr/item/INTO_2022_210_a3/