Enviar artigo por via de e-mail Exact Solutions of a Nonlinear Equation Describing Blow-Up Instability in Self-Oscillatory Systems
- Autores: Aristov A.I.1,2
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Afiliações:
- Faculty of Computational Mathematics and Cybernetics, Moscow State University
- Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
- Edição: Volume 63, Nº 11 (2023)
- Páginas: 1850-1858
- Seção: Partial Differential Equations
- URL: https://vietnamjournal.ru/0044-4669/article/view/664949
- DOI: https://doi.org/10.31857/S0044466923110042
- EDN: https://elibrary.ru/CIMCNK
- ID: 664949
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Resumo
A nonclassical fourth-order partial differential equation describing blow-up instability in self-oscillatory systems is studied. Several classes of exact solutions of this equation are constructed. It is shown that these solutions include ones growing to infinity in a finite time, ones bounded globally in time, and ones bounded on any finite time interval, but not globally.
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Sobre autores
A. Aristov
Faculty of Computational Mathematics and Cybernetics, Moscow State University; Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
Autor responsável pela correspondência
Email: ai_aristov@mail.ru
119992, Moscow, Russia; 119333, Moscow, Russia
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