A singular problem for functional differential equations with decreasing non‐linearities | Zendy

Pylypenko Vita | Zendy; Rontó András | Zendy

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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.

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