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.

引用

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页码：11076 / 11088

页数：13

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