BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER EQUATION WITH MULTIPLE CHARACTERISTICS

Kurbonov , Odiljon

Innovations in Science and Technologies · 2026-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, for which the Green function was constructed. By solving an auxiliary problem, the original problem was reduced to a integral equation. The solvability of the integral equation was established using the contraction mapping principle.

Maqola ma’lumotlari
MualliflarKurbonov , Odiljon
JurnalInnovations in Science and Technologies
Nashr sanasi2026-03-02
Jild3
Son2
Betlar223-230
TilIngliz

Kalit so‘zlar

Boundary value problem, uniqueness, existence, integral equations, the contraction mapping principle.

Ilmiy soha

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