On asymptotic properties of solutions defined on a half-axis to one semilinear ordinary differential equation
Autor: | T. S. Khachlaev, I. V. Filimonova |
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Rok vydání: | 2017 |
Předmět: |
Bernoulli differential equation
Mathematics::Operator Algebras Differential equation General Mathematics 010102 general mathematics Mathematical analysis Mathematics::Analysis of PDEs First-order partial differential equation Exact differential equation 01 natural sciences 010101 applied mathematics Homogeneous differential equation Ordinary differential equation Riccati equation 0101 mathematics Universal differential equation Mathematics |
Zdroj: | Russian Mathematics. 61:49-57 |
ISSN: | 1934-810X 1066-369X |
DOI: | 10.3103/s1066369x17030069 |
Popis: | We consider solutions to the semilinear ordinary differential equation with a nonlinear term of Emden–Fowler type. The results about the asymptotic behavior of the solutions to the Emden–Fowler equation defined in a neighborhood of infinity, presented in the book of R. Bellman, are extended to the case of equation with lower-order derivative. |
Databáze: | OpenAIRE |
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