Existence and uniqueness of a periodic solution to an indefinite attractive singular equation

被引：14

作者：

Hakl, Robert ^{[1
,2
]}

Zamora, Manuel ^{[1
,3
]}

机构：

[1] AS CR, Inst Math, Prague, Czech Republic

[2] Univ Talca, Inst Matemat & Fis, Talca, Chile

[3] Univ Bio Bio, Fac Ciencias, Dept Matemat, Concepcion, Chile

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2016年 / 195卷 / 03期

关键词：

Singular differential equation; Attractive singularity; Periodic solution; Uniqueness; Leray-Schauder degree; DIFFERENTIAL-EQUATIONS; GENERAL-MODEL; CELL-VOLUME; DYNAMICS;

D O I：

10.1007/s10231-015-0501-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of periodic solutions to differential equations with a singularity at the state variable, extending the recently found existing relation to differential equations with attractive singularity, where the order of the singularity and the regularity of the input functions are closely connected. The results related to the classic open problems in the field of singular equations. The question about uniqueness is also discussed.

引用

页码：995 / 1009

页数：15

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