Oscillation of delay differential equations via the hyper4 convergence
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908494817394688 |
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| author | Karakostas, George L. |
| author_facet | Karakostas, George L. |
| contents | A sharp condition is provided to guarantee that the (nontrivial) solutions of a DDE of the form $\dot{x}(t)+F(t,x)=0$ $t\geq 0,$ (where $F(t,\cdot)$ is an odd-like causal operator) either oscillate, or converge monotonically to zero. The method used is based on the convergence of the sequence of hyper4-iterations to the Lambert's function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_14023 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Oscillation of delay differential equations via the hyper4 convergence Karakostas, George L. Dynamical Systems 39A21 39A12 A sharp condition is provided to guarantee that the (nontrivial) solutions of a DDE of the form $\dot{x}(t)+F(t,x)=0$ $t\geq 0,$ (where $F(t,\cdot)$ is an odd-like causal operator) either oscillate, or converge monotonically to zero. The method used is based on the convergence of the sequence of hyper4-iterations to the Lambert's function. |
| title | Oscillation of delay differential equations via the hyper4 convergence |
| topic | Dynamical Systems 39A21 39A12 |
| url | https://arxiv.org/abs/2508.14023 |