On asymptotics of solutions of one Cauchy’s problem
We consider the Cauchy problem $(x')^n=at^r+bx+f(t,x,x'), x(0)=0$. We prove the existence of continuously differentiable solutions and study their asymptotic behavior for $t→+0$.
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| Datum: | 2025 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2025
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/9355 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We consider the Cauchy problem $(x')^n=at^r+bx+f(t,x,x'), x(0)=0$. We prove the existence of continuously differentiable solutions and study their asymptotic behavior for $t→+0$. |
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