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

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...

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Veröffentlicht in:	Computational mathematics and mathematical physics 2019-02, Vol.59 (2), p.236-240
Hauptverfasser:	Khanmamedov, A. Kh, Guseinov, A. M., Vekilov, M. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Cauchy problems Computational Mathematics and Numerical Analysis Differential equations Mathematical analysis Mathematics Mathematics and Statistics Nonlinear differential equations Nonlinear equations Nonlinear evolution equations Spectral methods
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Beschreibung
Zusammenfassung:	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.
ISSN:	0965-5425 1555-6662
DOI:	10.1134/S0965542519020088