ON A BOUNDARY VALUE PROBLEM FOR AN ODD-ORDER EQUATION WTH MULTIPLE CHARACTERISTICS

Kurbonov, Odiljon

Innovations in Science and Technologies · 2025-yil

Annotatsiya

In this article the author studied one boundary value problem for a third-order nonlinear equation with multiple characteristics. The unique solvability to the problem was proven. The uniqueness of the solution to the boundary value problem was proven by the method of energy. To prove the existence of a solution to this problem, an auxiliary problem was considered. By solving an auxiliary problem, the original problem was reduced to a system of Hammerstein integral equations.The solvability of a nonlinear system is established by the method of contraction mappings.

Maqola ma’lumotlari
MualliflarKurbonov, Odiljon
JurnalInnovations in Science and Technologies
Nashr sanasi2025-10-14
Jild2
Son9
Betlar138-146
TilIngliz

Kalit so‘zlar

nonlinearity, uniqueness, existence, system of Hammerstein equations.

Ilmiy soha

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