Periodic solutions for second order totally nonlinear iterative differential equations

被引：8

作者：

Guerfi, Abderrahim ^{[1
]}

Ardjouni, Abdelouaheb ^{[1
,2
]}

机构：

[1] Univ Annaba, Dept Math, Fac Sci, Appl Math Lab, POB 12, Annaba 23000, Algeria

[2] Univ Souk Ahras, Dept Math & Informat, POB 1553, Souk Ahras 41000, Algeria

来源：

JOURNAL OF ANALYSIS | 2022年 / 30卷 / 01期

关键词：

Krasnoselskii-Burton's fixed point; Large contraction; Iterative differential equations; Periodic solutions; Green's function; EXISTENCE;

D O I：

10.1007/s41478-021-00347-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sufficient conditions in this paper are presented for the existence of periodic solutions of a second order totally nonlinear iterative differential equation. The equivalent integral equation of the given equation defines a fixed point mapping written as a sum of a large contraction and a compact map. The main tool used here is Krasnoselskii-Burton's fixed point technique.

引用

页码：353 / 367

页数：15

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