泊松方程边值问题的可解性

Q A Iasaýı atyndaǵy Halyqaralyq qazaq-túrіk ýnıversıtetіnіń habarlary (fızıka matematıka ınformatıka serııasy) Pub Date : 2022-09-30 DOI:10.47526/2022-3/2524-0080.01

B.B. Orman, B. Turmetov

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引用次数: 0

摘要

本文研究了泊松方程边值问题的可解性。边界算子是用分数阶导数定义的。所考虑的问题推广了著名的泊松方程的狄利克雷和诺伊曼问题。用算子方法求解了所研究的问题。本文确定了所考虑问题的解，并证明了它们的唯一性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the solvability of some boundary value problems for the Poisson equation

This work is devoted to the study of the solvability of some boundary value problems for the Poisson equation. Boundary operators are defined using fractional derivatives. The problems under consideration generalize the well-known Dirichlet and Neumann problems for the Poisson equation. The problems under study are solved by using operator methods. In the article solutions of the considered problems are determined and their uniqueness is proved.

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Q A Iasaýı atyndaǵy Halyqaralyq qazaq-túrіk ýnıversıtetіnіń habarlary (fızıka matematıka ınformatıka serııasy)

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