On the uniqueness of the solution of a nonlinear boundary value problem for a third-order equation with multiple characteristics on a plane

Kurbanov, O. T.

Innovations in Science and Technologies · 2026-yil

Annotatsiya

In this paper, we study a nonlinear boundary value problem for a third-order partial differential equation with multiple characteristics defined on a plane domain. Equations of this type arise in various problems of mathematical physics and often present significant analytical difficulties due to the presence of nonlinear terms associated with multiple characteristic directions. We formulate an appropriate boundary value problem and analyze the conditions under which the problem admits a solution in the class of continuous functions. Particular attention is devoted to the influence of the nonlinear structure and the characteristic properties of the differential operator on the solvability of the problem. The main result of the paper establishes the uniqueness of a solution in the specified functional class. The proof is based on the construction of suitable energy integrals and the application of the energy integral method. The obtained results contribute to the theory of nonlinear boundary value problems for higher-order partial differential equations with multiple characteristics. They may be useful in the further study of similar classes of nonlinear equations.

Maqola ma’lumotlari
MualliflarKurbanov, O. T.
JurnalInnovations in Science and Technologies
NashriyotТошкент давлат иқтисодиёт университети
ISSN3030-3451
Nashr sanasi2026-03-17
Jild3
Son3
Betlar104-110
TilIngliz
Ilmiy sohaIqtisodiyot
Indeksga qo‘shilgan2026-08-26

Maqolaning asl sahifasi

Kalit so‘zlar

a nonlinear boundary value problem, a solution, a uniqueness, the energy integral method.

Ilmiy soha

Iqtisodiyot

Iqtibos keltirish

APAKurbanov, O. T. (2026). ON THE UNIQUENESS OF THE SOLUTION OF A NONLINEAR BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER EQUATION WITH MULTIPLE CHARACTERISTICS ON A PLANE. Innovations in Science and Technologies, 3(3), 104-110. https://innoist.uz/index.php/ist/article/view/1495
GOST (OAK)Kurbanov, O. T. ON THE UNIQUENESS OF THE SOLUTION OF A NONLINEAR BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER EQUATION WITH MULTIPLE CHARACTERISTICS ON A PLANE // Innovations in Science and Technologies. – 2026. – T. 3, № 3. – P. 104-110.
MLAKurbanov, O. T. “ON THE UNIQUENESS OF THE SOLUTION OF A NONLINEAR BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER EQUATION WITH MULTIPLE CHARACTERISTICS ON A PLANE.” Innovations in Science and Technologies, 3(3), 104-110, 2026. https://innoist.uz/index.php/ist/article/view/1495
ChicagoKurbanov, O. T. “ON THE UNIQUENESS OF THE SOLUTION OF A NONLINEAR BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER EQUATION WITH MULTIPLE CHARACTERISTICS ON A PLANE.” Innovations in Science and Technologies, 3(3), 104-110 (2026). https://innoist.uz/index.php/ist/article/view/1495
HarvardKurbanov, O. T (2026) ‘ON THE UNIQUENESS OF THE SOLUTION OF A NONLINEAR BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER EQUATION WITH MULTIPLE CHARACTERISTICS ON A PLANE’, Innovations in Science and Technologies, 3(3), 104-110. https://innoist.uz/index.php/ist/article/view/1495
BibTeX
@article{kurbanovot2026,
  title = {ON THE UNIQUENESS OF THE SOLUTION OF A NONLINEAR BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER EQUATION WITH MULTIPLE CHARACTERISTICS ON A PLANE},
  author = {Kurbanov, O. T.},
  journal = {Innovations in Science and Technologies},
  year = {2026},
  volume = {3},
  number = {3},
  pages = {104-110},
  url = {https://innoist.uz/index.php/ist/article/view/1495}
}

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