In this paper we propose a method for solving the Dirichlet-type problem for a third-order elliptic-hyperbolic equation with a boundary condition of the second kind in a rectangular region. It is shown that the correctness of the problem formulation essentially depends on the ratio of the sides of the rectangle from the hyperbolic part of the mixed region. The solution of the problem in the form of a sum of series on eigenfunctions of the corresponding one-dimensional spectral problem is constructed. The criterion of singularity of the solution is established. Estimates of stability of the solution from the given boundary functions are proved.
| Mualliflar | Кылышбаева, Г.К. |
|---|---|
| Jurnal | Ilim ha’m ja’miyet |
| Nashr sanasi | 2024-10-29 |
| Son | 5-1 |
| Betlar | 19-24 |
| Til | Rus |
учинчи тартибли тенглама, Дирихле типидаги масала, кичик маҳражлар, ечимнинг ягоналиги, мавжудлиги ва турғунлиги, уравнение третьего порядка, задача типа Дирихле, малые знаменатели, единственность, существование и устойчивость решения, third order equation, Dirichlet-type problem, small denominators, uniqueness, existence and stability of the solution
This paper validated the use of YOLO to identify image types through object detection. YOLOʻs fast processing and high accuracy make it a valuable tool in image classification tasks. Although there are difficulties in…
The article examines the influence of external factors influencing the seasonal electricity production of the solar photovoltaic power plant.
In the article, single-crystal silicon having a perfect structure with a lattice parameter of 0,54292 nm and subcrystallites with a size of 94 nm was studied and determined the formation of low-dimensional defects…
In this paper, we calculate the D matrix using multiplication tables of complex solvable {2,3}-dimensional Zinbiel al- gebras. Basically, by calculating the multiplication tables in theorems {1,2}, we get the results.
The article outlines the relevance of the structural design and calculation of arches, frames and curved beams, as well as the use in educational practice of such educational programs as the Mathcad, Solid Works…
This article presents models that describe information-functional connections between objects and subjects of the tax system and tax information system, using the graph apparatus and set theory and the rostov language…
The article analyzes foreign technologies for storing raw cotton collected as a result of the mechanization of cotton harvesting, and also provides recommendations for the creation and implementation of technologies for…
Studies of the magnetic properties of silicon samples doped with impurity manganese atoms in the low temperature region T=30 K revealed a ferromagnetic state with the following parameters Ms=3.41·10-3 emu/cm-3…
The article is a study to develop an algorithm for early detection of lameness in cattle using data obtained from pedometers. The authors propose a model based on the analysis of activity and movement indicators of…
This article presents methods for solving mathematical problems based on programs. Students become familiar with the traditional approach, problem solving and creative approaches in applying methods of generalizing…