Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 44, Issue 14, Pages 11076-11088Publisher
WILEY
DOI: 10.1002/mma.7469
Keywords
functional-differential equations; growth of solutions; initial value problem; time singularity
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Funding
- [CZ.02.2.69/0.0/0.0/16_027/0008371]
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We investigate the existence of solutions in a suitable weighted space of locally absolutely continuous functions for a first-order functional differential equation with monotone non-linearities, which may have a non-integrable singularity with respect to the independent variable.
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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