THIRD-ORDER DIFFERENTIAL EQUATIONS WITH MULTIPLE CHARACTERISTICS: DEGENERATION AND UNKNOWN EXTERNAL INFLUENCE
ДИФФЕРЕНЦИАЛЬНЫЕ УРАВНЕНИЯ ТРЕТЬЕГО ПОРЯДКА С КРАТНЫМИ ХАРАКТЕРИСТИКАМИ: ВЫРОЖДЕНИЕ И НЕИЗВЕСТНОЕ ВНЕШНЕЕ ВОЗДЕЙСТВИЕ
Kozhanov A.I. Ashurova G.R.
2024Chelyabinsk State University
Chelyabinsk Physical and Mathematical Journal
2024#9Issue 4585 - 595 pp.
Inverse problems of determination together with the solution of a degenerate differential equation with multiple characteristics of an unknown coefficient representing external influence (the free term) are studied. The nature of degeneration in the studied equation, as well as the type of the unknown coefficient, are determined by the time variable. Theorems of existence and uniqueness of regular solutions (solutions that possess all generalized derivatives according to S.L. Sobolev, which are involved in the equation) are proved for the studied problems.
degeneration , differential equation with multiple characteristics , existence , inverse problem , regular solution , uniqueness , unknown external influence
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S.L. Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
Novosibirsk State University, Novosibirsk, Russian Federation
Yugra State University, Khanty-Mansiysk, Russian Federation
Al-Farabi Kazakh National University, Almaty, Kazakhstan
S.L. Sobolev Institute of Mathematics
Novosibirsk State University
Yugra State University
Al-Farabi Kazakh National University
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