Approximate solutions to a nonlinear functional differential equation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866912977969479680 |
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| author | Hale, Nicholas Thomann, Enrique Weideman, JAC |
| author_facet | Hale, Nicholas Thomann, Enrique Weideman, JAC |
| contents | A functional differential equation related to the logistic equation is studied by a combination of numerical and perturbation methods. Parameter regions are identified where the solution to the nonlinear problem is approximated well by known series solutions of the linear version of the equation. The solution space for a particular class of functions is then mapped out using a continuation approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11733 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Approximate solutions to a nonlinear functional differential equation Hale, Nicholas Thomann, Enrique Weideman, JAC Classical Analysis and ODEs Numerical Analysis 34K18, 34K28, 74S25 A functional differential equation related to the logistic equation is studied by a combination of numerical and perturbation methods. Parameter regions are identified where the solution to the nonlinear problem is approximated well by known series solutions of the linear version of the equation. The solution space for a particular class of functions is then mapped out using a continuation approach. |
| title | Approximate solutions to a nonlinear functional differential equation |
| topic | Classical Analysis and ODEs Numerical Analysis 34K18, 34K28, 74S25 |
| url | https://arxiv.org/abs/2401.11733 |