Algorithm for Solving the Cauchy Problem for One Infinite-Dimensional System of Nonlinear Differential Equations

Autor:	A. M. Guseinov, M. M. Vekilov, A. Kh. Khanmamedov
Rok vydání:	2019
Předmět:	Computational Mathematics Class (set theory) Chain (algebraic topology) Generalization Inverse Initial value problem Spectral method Nonlinear evolution Nonlinear differential equations Algorithm Mathematics
Zdroj:	Computational Mathematics and Mathematical Physics. 59:236-240
ISSN:	1555-6662 0965-5425
DOI:	10.1134/s0965542519020088
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::07e1dd729d449c398160281f69143074 https://doi.org/10.1134/s0965542519020088 Zobrazit plný text záznamu Full text from SpringerLink