NEW EXISTING RESULTS FOR A SYSTEM OF NONLINEAR THIRD-ORDER DIFFERENTIAL EQUATION VIA FIXED POINT INDEX

被引：2

作者：

Zhai, Chengbo ^{[1
]}

Zhao, Li ^{[1
]}

Li, Shunyong ^{[1
]}

Marasi, H. R. ^{[2
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

[2] Univ Tabriz, Tabriz, Iran

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 06期

关键词：

System of third-order differential equation; positive solution; fixed point index theory; existence; POSITIVE SOLUTIONS; EXISTENCE; EIGENVALUE;

D O I：

10.11948/2018.1694

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using fixed point index theory, we investigate a system of nonlinear third-order differential equation. We give some sufficient conditions for the existence of at least one or two positive solutions to the system of nonlinear third-order differential equation. As applications, we also present two examples to demonstrate the main results.

引用

页码：1694 / 1706

页数：13

共 28 条

[1] Green's function for a third-order generalized right focal problem [J].

Anderson, DR .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 288 (01) :1-14

[2] Multiple solutions and eigenvalues for third-order right focal boundary value problems [J].

Anderson, DR ;

Davis, JM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 267 (01) :135-157

[3] New Algorithm for the Numerical Solutions of Nonlinear Third-Order Differential Equations Using Jacobi-Gauss Collocation Method [J].

Bhrawy, A. H. ;

Abd-Elhameed, W. M. .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2011, 2011

[4] Solvability of a Third-Order Multipoint Boundary Value Problem at Resonance [J].

Du, Zengji ;

Zhao, Bensheng ;

Bai, Zhanbing .

ABSTRACT AND APPLIED ANALYSIS, 2014,

[5] Existence of solutions for a class of third-order nonlinear boundary value problems [J].

Du, ZJ ;

Ge, WG ;

Lin, XJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (01) :104-112

[6] Eigenvalue for a singular third-order three-point boundary value problem [J].

Feng, Xingfang ;

Feng, Hanying ;

Bai, Donglong .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (18) :9783-9790

[7] Solvability of a third-order two-point boundary value problem [J].

Feng, YQ ;

Liu, SY .

APPLIED MATHEMATICS LETTERS, 2005, 18 (09) :1034-1040

[8]

Graef JR, 2006, DYNAM SYST APPL, V15, P97

[9]

Gregus M., 1987, MATH APPL

[10]

Guezane-Lakoud A., 2010, J DIFFER EQUATIONS, V139, P1

← 1 2 3 →