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

被引：0
|
作者：
Pylypenko, Vita [1 ]
Ronto, Andras [2 ,3 ]
机构：
[1] Igor Sikorsky Kiev Polytech Inst, Fac Phys & Math, Kiev, Ukraine
[2] Brno Univ Technol, Fac Business & Management, Brno, Czech Republic
[3] Masaryk Univ, Fac Educ, Brno, Czech Republic
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 14期
关键词：
functional-differential equations; growth of solutions; initial value problem; time singularity; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; CAUCHY FUNCTION;
D O I：
10.1002/mma.7469
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：11076 / 11088
页数：13
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