A singular problem for functional differential equations with decreasing non-linearities
| Autoři | |
|---|---|
| Rok publikování | 2021 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Mathematical Methods in the Applied Sciences |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://onlinelibrary.wiley.com/doi/10.1002/mma.7469 |
| Doi | http://dx.doi.org/10.1002/mma.7469 |
| Klíčová slova | functional-differential equations; growth of solutions; initial value problem; time singularity |
| Popis | We consider a weighted initial value problem for first-order functional differential equations with monotone non-linearities which may have a non-integrable singularity with respect to the independent variable. Conditions for the existence of solutions in a suitable weighted space of locally absolutely continuous functions are given. |