Solvability of Nonlocal Problems for Systems of Sobolev-Type Differential Equations with a Multipoint Condition
- 作者: Assanova A.1, Imanchiyev A.2,1, Kadirbayeva Z.1,3
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隶属关系:
- Institute of Mathematics and Mathematical Modeling
- K. Zhubanov Aktobe Regional State University
- International Information Technology University
- 期: 卷 63, 编号 12 (2019)
- 页面: 1-12
- 栏目: Article
- URL: https://journals.rcsi.science/1066-369X/article/view/225339
- DOI: https://doi.org/10.3103/S1066369X19120016
- ID: 225339
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详细
We consider a nonlocal problem for a system of loaded differential equations of the Sobolev type with a multipoint constraint. By introducing additional unknown functions, we reduce the problem under consideration to an equivalent problem consisting of a nonlocal multipoint problem for a system of loaded hyperbolic equations of the second order with functional parameters and integral correlations. We propose algorithms for solving the equivalent problem. Moreover, we establish conditions for the well-posedness of the nonlocal multipoint problem for the system of loaded hyperbolic equations of the second order and conditions for the existence of a unique classical solution to the nonlocal problem for the system of differential equations of the Sobolev type with a multipoint constraint.
作者简介
A. Assanova
Institute of Mathematics and Mathematical Modeling
编辑信件的主要联系方式.
Email: assanova@math.kz
哈萨克斯坦, 125 Pushkin str., Almaty, 050010
A. Imanchiyev
K. Zhubanov Aktobe Regional State University; Institute of Mathematics and Mathematical Modeling
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Email: imanchiev_ae@mail.ru
哈萨克斯坦, 34 A. Moldagulova Ave., Aktobe, 030000; 125 Pushkin str., Almaty, 050010
Zh. Kadirbayeva
Institute of Mathematics and Mathematical Modeling; International Information Technology University
编辑信件的主要联系方式.
Email: apelman86pm@mail.ru
哈萨克斯坦, 125 Pushkin str., Almaty, 050010; 34/1 Manas str., Almaty, 050008