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
NashriyotТошкент давлат иқтисодиёт университети
ISSN3030-3451
Nashr sanasi2026-03-02
Jild3
Son2
Betlar223-230
TilIngliz
Ilmiy sohaIqtisodiyot
Indeksga qo‘shilgan2026-08-26

Kalit so‘zlar

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

Ilmiy soha

Iqtibos keltirish

APAKurbonov , Odiljon (2026). BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER EQUATION WITH MULTIPLE CHARACTERISTICS. Innovations in Science and Technologies, 3(2), 223-230. https://innoist.uz/index.php/ist/article/view/1480
GOST (OAK)Kurbonov , Odiljon BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER EQUATION WITH MULTIPLE CHARACTERISTICS // Innovations in Science and Technologies. – 2026. – T. 3, № 2. – P. 223-230.
MLAKurbonov , Odiljon. “BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER EQUATION WITH MULTIPLE CHARACTERISTICS.” Innovations in Science and Technologies, 3(2), 223-230, 2026. https://innoist.uz/index.php/ist/article/view/1480
ChicagoKurbonov , Odiljon. “BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER EQUATION WITH MULTIPLE CHARACTERISTICS.” Innovations in Science and Technologies, 3(2), 223-230 (2026). https://innoist.uz/index.php/ist/article/view/1480
HarvardKurbonov , Odiljon (2026) ‘BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER EQUATION WITH MULTIPLE CHARACTERISTICS’, Innovations in Science and Technologies, 3(2), 223-230. https://innoist.uz/index.php/ist/article/view/1480
BibTeX
@article{kurbonovodiljon2026,
  title = {BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER EQUATION WITH MULTIPLE CHARACTERISTICS},
  author = {Kurbonov , Odiljon},
  journal = {Innovations in Science and Technologies},
  year = {2026},
  volume = {3},
  number = {2},
  pages = {223-230},
  url = {https://innoist.uz/index.php/ist/article/view/1480}
}

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