A Method for Studying the Cauchy Problem for a Singularly Perturbed Weakly Nonlinear First-Order Differential Equation
- Autores: Bukzhalev E.E.1
-
Afiliações:
- Department of Physics
- Edição: Volume 73, Nº 1 (2018)
- Páginas: 53-56
- Seção: Theoretical and Mathematical Physics
- URL: https://journals.rcsi.science/0027-1349/article/view/164934
- DOI: https://doi.org/10.3103/S0027134918010046
- ID: 164934
Citar
Resumo
A sequence converging to the solution of the Cauchy problem for a singularly perturbed weakly nonlinear first-order differential equation is constructed. This sequence is asymptotic in the sense that the distance (with respect to the norm of the space of continuous functions) between its nth element and the solution to the problem is proportional to the (n + 1)th power of the perturbation parameter. Such a sequence can be used to justify asymptotics obtained by the boundary function method.
Sobre autores
E. Bukzhalev
Department of Physics
Autor responsável pela correspondência
Email: bukzhalev@mail.ru
Rússia, Moscow, 1199991
Arquivos suplementares
