A singular problem for functional differential equations with decreasing non-linearities
| Authors | |
|---|---|
| Year of publication | 2021 |
| Type | Article in Periodical |
| Magazine / Source | Mathematical Methods in the Applied Sciences |
| MU Faculty or unit | |
| Citation | |
| Web | https://onlinelibrary.wiley.com/doi/10.1002/mma.7469 |
| Doi | http://dx.doi.org/10.1002/mma.7469 |
| Keywords | functional-differential equations; growth of solutions; initial value problem; time singularity |
| Description | 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. |