Asymptotic Behavior of Slowly Varying Solutions of Second-Order Ordinary Binomial Differential Equations with Rapidly Varying Nonlinearity
| Autor: | V. M. Evtukhov, A. G. Chernikova |
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| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Binomial (polynomial) Differential equation Applied Mathematics General Mathematics 010102 general mathematics Mathematical analysis 01 natural sciences 010305 fluids & plasmas Nonlinear system 0103 physical sciences Order (group theory) 0101 mathematics Differential (infinitesimal) Mathematics |
| Zdroj: | Journal of Mathematical Sciences. 236:284-299 |
| ISSN: | 1573-8795 1072-3374 |
| DOI: | 10.1007/s10958-018-4111-7 |
| Popis: | We establish new conditions for the existence of slowly varying solutions of a second-order differential binomial nonautonomous equation with rapidly varying nonlinearity. We also determine the asymptotic representations for these solutions and their first derivatives as t ↑ ω, ω ≤ + ∞. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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