Positive periodic solutions for impulsive differential equations with infinite delay and applications to integro-differential equations

被引：3

作者：

Buedo-Fernandez, Sebastian ^{[1
,2
]}

Faria, Teresa ^{[3
,4
]}

机构：

[1] Univ Santiago de Compostela, Fac Matemat, Dept Estatist Analise Matemat & Optimizac, Santiago De Compostela, Spain

[2] Univ Santiago de Compostela, Fac Matemat, Inst Matemat, Santiago De Compostela, Spain

[3] Univ Lisbon, Fac Ciencias, Dept Matemat, Lisbon, Portugal

[4] Univ Lisbon, Fac Ciencias, CMAF CIO, Lisbon, Portugal

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 06期

关键词：

delay differential equations; fixed-point theorems in cones; impulses; infinite delay; positive periodic solution; Volterra integro-differential equations; GLOBAL ATTRACTIVITY; EXISTENCE; STABILITY; DYNAMICS;

D O I：

10.1002/mma.6100

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sufficient conditions for the existence of at least one positive periodic solution are established for a family of scalar periodic differential equations with infinite delay and nonlinear impulses. Our criteria, obtained by applying a fixed-point argument to an original operator constructed here, allow to treat equations incorporating a rather general nonlinearity and impulses whose signs may vary. Applications to some classes of Volterra integro-differential equations with unbounded or periodic delay and nonlinear impulses are given, extending and improving results in the literature.

引用

页码：3052 / 3075

页数：24

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