On fourth order retarded equations with functional boundary conditions: a unified approach
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866909348359307264 |
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| author | Calamai, Alessandro Infante, Gennaro |
| author_facet | Calamai, Alessandro Infante, Gennaro |
| contents | By means of a recent Birkhoff-Kellogg type theorem, we discuss the solvability of a fairly general class of parameter-dependent fourth order retarded differential equations subject to functional boundary conditions. We seek solutions within a translate cone of nonnegative functions. We provide an example to illustrate our theoretical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_04619 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On fourth order retarded equations with functional boundary conditions: a unified approach Calamai, Alessandro Infante, Gennaro Classical Analysis and ODEs Primary 47H10, secondary 34K10, 34B10, 34B18 By means of a recent Birkhoff-Kellogg type theorem, we discuss the solvability of a fairly general class of parameter-dependent fourth order retarded differential equations subject to functional boundary conditions. We seek solutions within a translate cone of nonnegative functions. We provide an example to illustrate our theoretical results. |
| title | On fourth order retarded equations with functional boundary conditions: a unified approach |
| topic | Classical Analysis and ODEs Primary 47H10, secondary 34K10, 34B10, 34B18 |
| url | https://arxiv.org/abs/2209.04619 |