A STUDY OF NONLOCAL NONLINEAR BOUNDARY VALUE PROBLEMS FOR THIRD-ORDER EQUATIONS WITH MULTIPLE CHARACTERISTICS

Kurbonov , Odiljon

Innovations in Science and Technologies · 2025-yil

Annotatsiya

In this article, the authors studied one nonlcal nonlinear 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. The solution of an auxiliary problem reduced the original problem to a nonlinear integral equation. Subsequently, the solvability of the nonlinear integral equation was established. 

Maqola ma’lumotlari
MualliflarKurbonov , Odiljon
JurnalInnovations in Science and Technologies
Nashr sanasi2025-05-12
Jild2
Son3
Betlar6-13
TilIngliz

Kalit so‘zlar

nonlinearity, uniqueness, existence, nonlinear integral equation

Ilmiy soha

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