| Article |
|---|
| Article name |
Regarding the Solution of Boundary Value Problems for Nonhomogeneous Differential Equations in Half-Cylinders Bounded Two-Layer Film |
| Authors |
Kholodovsky S.Y. Doctor of Physics and Mathematics, hol47@yandex.ru |
| Bibliographic description |
Kholodovskii S. Ye. Regarding the Solution of Boundary Value Problems for Nonhomogeneous Differential Equations in Half-Cylinders Bounded Two-Layer Film // Scholarly Notes Of Transbaikal State University. Series Physics, Mathematics, Engineering, Technology. 2017. Vol. 12, No. 4. PP. 24-28. DOI: 10.21209/2308-8761-2017-12-4-24-28. |
| Section |
PROBLEMS OF MATHEMATICAL PHYSICS. ANALYTICAL METHODS |
| UDK |
517.958 |
| DOI |
10.21209/2308-8761-2017-12-4-24-28 |
| Article type |
|
| Annotation |
In the article we consider a class of boundary value problems in the half-cylinders D = (x < 0) x (y £ Q C Rm) bounded on the basis x = 0 of the two-layer film composed of strongly and weakly permeable layers. On the film we set a homogeneous boundary condition of the first type. In the half-cylinder we consider nonhomogeneous differential equations of a certain class. Using the method of convolution of Fourier expansions the solutions problems with film are expressed through the solutions of the classical problems in the cylinder D0 = (x £ R) x (y £ Q C Rm) without film with conservation of equation in D.
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| Key words |
boundary value problem, two-layer films, the generalized boundary conditions |
| Article information |
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| References |
1. Kholodovskii S. E. Zadachi matematicheskoi fiziki v oblastyakh s plenochnymi vklyucheniyami i plenochnymi granitsami. Chita: ZabGU, 2017. 234 s.
2. Fikhtengol’ts G. M. Kurs differentsial’nogo i integral’nogo ischisleniya. M.: Nauka, 1962. T. 3. 656 s.
3. Kholodovskii S. E. The Convolution Method of Fourier Expansions. The Case of Generalized Transmission Conditions of Crack (Screen) Type in Piecewise Inhomogeneous Media // Differential Equations. 2009. Vol. 45, No. 6. P. 873-877.
4. Kholodovskii S. E. On multilayer films on the boundary of a half-space // Mathematical Notes. 2016. Vol. 99, No. 3. P. 426-431. |
| Full article | Regarding the Solution of Boundary Value Problems for Nonhomogeneous Differential Equations in Half-Cylinders Bounded Two-Layer Film |
