Email this article Algorithm for Solving the Cauchy Problem for One Infinite-Dimensional System of Nonlinear Differential Equations
- Authors: Khanmamedov A.K.1,2,3, Guseinov A.M.4, Vekilov M.M.1
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Affiliations:
- Baku State University
- Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
- Azerbaijan University
- Ganja State University
- Issue: Vol 59, No 2 (2019)
- Pages: 236-240
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180396
- DOI: https://doi.org/10.1134/S0965542519020088
- ID: 180396
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Abstract
The Cauchy problem for an infinite-dimensional system of nonlinear evolution equations, which is a generalization of the Langmuir chain, is considered. The global solvability of the problem in the class of rapidly decreasing functions is established. By the inverse spectral method, an algorithm for constructing the solution is obtained.
About the authors
A. Kh. Khanmamedov
Baku State University; Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan; Azerbaijan University
Author for correspondence.
Email: agil_khanmamedov@yahoo.com
Azerbaijan, Baku, AZ1148; Baku, AZ1141; Baku, AZ1007
A. M. Guseinov
Ganja State University
Email: agil_khanmamedov@yahoo.com
Azerbaijan, Ganja, AZ2000
M. M. Vekilov
Baku State University
Email: agil_khanmamedov@yahoo.com
Azerbaijan, Baku, AZ1148
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