Existence Results of Multiple Solutions for a 2nth-Order Finite Difference Equation

被引：1

作者：

You, Mengxiang ^{[1
]}

Tian, Yu ^{[1
]}

Yue, Yue ^{[1
]}

Liu, Jianguo ^{[1
,2
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

[2] Jiangxi Univ Tradit Chinese Med, Coll Comp, Nanchang 330004, Jiangxi, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 03期

关键词：

Variational approach; Multiple solutions; 2nth-order finite difference equation; Eigenvalues;

D O I：

10.1007/s40840-019-00836-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence results of multiple solutions for a 2nth-order finite difference equation are investigated in this paper. The methods applied are variational approach. It is noteworthy that the algebraic conditions are imposed on the nonlinear term, which are more general than the symmetric conditions at zero and infinity. In addition, the result of at least two nonzero solutions is new.

引用

页码：2887 / 2907

页数：21

共 50 条

[41] Solutions of the nth-order Cauchy difference equation on groups
Qiaoling Guo
Bolin Ma
Lin Li
Advances in Difference Equations, 2015
[42] Solutions of the nth-order Cauchy difference equation on groups
Guo, Qiaoling
Ma, Bolin
Li, Lin
ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 19
[43] Existence of positive solutions for 2nth-order singular semipositone differential equations with Sturm-Liouville boundary conditions
Zhao, Zengqin
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1348 - 1357
[44] Positive solutions for a class of 2nth-order singular boundary value problems
Zhang, Xuemei
Feng, Meiqiang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (04) : 1287 - 1298
[45] NONEXISTENCE AND EXISTENCE OF POSITIVE SOLUTIONS FOR 2nTH-ORDER SINGULAR SUPERLINEAR PROBLEMS WITH STRUM-LIOUVILLE BOUNDARY CONDITIONS
Zhao Zengqin
ACTA MATHEMATICA SCIENTIA, 2011, 31 (04) : 1569 - 1582
[46] Existence of positive solutions for nth-order periodic difference equations
Cabada, A.
Ferreiro, J. B.
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2011, 17 (06) : 935 - 954
[47] NONEXISTENCE AND EXISTENCE OF POSITIVE SOLUTIONS FOR 2nTH-ORDER SINGULAR SUPERLINEAR PROBLEMS WITH STRUM-LIOUVILLE BOUNDARY CONDITIONS
赵增勤
Acta Mathematica Scientia, 2011, 31 (04) : 1569 - 1582
[48] HOMOCLINIC ORBITS OF 2nTH-ORDER DIFFERENCE EQUATIONS INVOLVING p-LAPLACIAN
Shi, Haiping
Liu, Xia
Zhang, Yuanbiao
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2017, 54 (01) : 42 - 60
[49] Periodic and subharmonic solutions for 2nth-order φc-Laplacian difference equations containing both advance and retardation
Leng, Jianhua
INDAGATIONES MATHEMATICAE-NEW SERIES, 2016, 27 (04): : 902 - 913
[50] On 2nth-order Lidstone boundary value problems
Wang, YM
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 312 (02) : 383 - 400

← 1 2 3 4 5 →