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A singular problem for functional differential equations with decreasing non‐linearities
Author(s) -
Pylypenko Vita,
Rontó András
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7469
Subject(s) - mathematics , monotone polygon , singularity , initial value problem , mathematical analysis , integrable system , differential equation , space (punctuation) , variable (mathematics) , order (exchange) , philosophy , linguistics , geometry , finance , economics
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.