Periodic solutions of a class of third-order functional differential equations with iterative source terms

被引：20

作者：

Bouakkaz, Ahleme ^{[1
]}

Ardjouni, Abdelouaheb ^{[2
,3
]}

Khemis, Rabah ^{[1
]}

Djoudi, Ahcene ^{[3
]}

机构：

[1] Univ 20 Aout 1955, Dept Math, Lab LAMAHIS, Skikda 21000, Algeria

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

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

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2020年 / 26卷 / 02期

关键词：

Periodic solutions; Iterative differential equations; Fixed point theorem; Green's function; EXISTENCE;

D O I：

10.1007/s40590-019-00267-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work deals with a class of third-order differential equations with iterative source terms. Some new results on the existence, uniqueness and continuous dependence of periodic solution for this class are established by virtue of Krasnoselskii's and Banach's fixed point theorems and some useful properties of Green's function. Finally, we present an example to illustrate the effectiveness of our results.

引用

页码：443 / 458

页数：16

共 21 条

[1]

Abel NH, 1881, CHRISTIANA I, VI, P36

[2]

Andrzej P, 1969, PRACE MAT, V13, P49

[3]

Andrzej P., 1971, ZESZYTY NAUKOWE UJ P, V15, P125

[4]

Andrzej P., 1968, PRACE MAT, V12, P53

[5]

Ardjouni A, 2012, APPL MATH E-NOTES, V12, P94

[6]

Babbage C., 1815, Philos. Trans. R. Soc. Lond., V105, P389

[7]

Bouakkaz A, 2018, ACTA MATH UNIV COMEN, V87, P223

[8]

Bouakkaz A., 2019, Electronic Journal of Mathematical Analysis and Applications, V7, P156, DOI [10.21608/ejmaa.2019.312750, DOI 10.21608/EJMAA.2019.312750]

[9] GREEN'S FUNCTION FOR THIRD-ORDER DIFFERENTIAL EQUATIONS [J].

Chen, Yueli ;

Ren, Jingli ;

Siegmund, Stefan .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2011, 41 (05) :1417-1448

[10] Existence of positive periodic solution for variable-coefficient third-order differential equation with singularity [J].

Cheng, Zhibo ;

Ren, Jingli .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (15) :2281-2289

← 1 2 3 →