| Article |
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| Article name |
On the Solution of Boundary Value Problems for the Laplace Equation in the Half-Plane with Unbounded Boundary Functions. The Method of Quasi-Integrals of Fourier |
| Authors |
Yefimova I.A. Candidate of Physics and Mathematics, hol47@yandex.ru |
| Bibliographic description |
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| Section |
Scientific Research |
| UDK |
517.956 |
| DOI |
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| Article type |
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| Annotation |
The third boundary value problem in the half-plane with sufficiently smooth boundary function which at infinity is an arbitrary polynomial growth was considered.
The solution of the problem is obtained in the form of quasi-integral Fourier with classical Fourier coefficients of the n-th derivative of the boundary function. The results allow solving boundary value problems with singular points at infinity.
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| Key words |
boundary value problems with unbounded boundary functions, method of quasi-integrals of Fourier. |
| Article information |
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| References |
1. Fikhtengol’ts G. M. Kurs differentsial’nogo i integral’nogo ischisleniya. T. 3. M.: Nauka, 1962. 656 s.
2. Kholodovskii S. E. О razlozhenii funktsii v kvaziintegraly Fur’e i ikh prilozhenii // Obozrenii prikladnoi i promyshlennoi matematiki. 2003. T. 10. Vyp. 1.
S. 247-248.
3. Kholodovskii A. S. and Kholodovskii S. E. Fourier quasi-integral expansions of functions and their applications to the solution of boundary value problems // Differential Equations. 2004. Vol. 40. №. 10. P. 1491 1495. |
| Full article | On the Solution of Boundary Value Problems for the Laplace Equation in the Half-Plane with Unbounded Boundary Functions. The Method of Quasi-Integrals of Fourier |
