A singular problem for functional differential equations with decreasing non-linearities

Authors

PYLYPENKO Vita RONTÓ András

Year of publication 2021
Type Article in Periodical
Magazine / Source Mathematical Methods in the Applied Sciences
MU Faculty or unit

Faculty of Education

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.

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