On some variational algebraic problems

被引:23
作者
Bisci, Giovanni Molica [1 ]
Repovs, Dusan [2 ,3 ]
机构
[1] Univ Reggio Calabria, Dipartimento MECMAT, I-89124 Reggio Di Calabria, Italy
[2] Univ Ljubljana, Fac Educ, Ljubljana 1001, Slovenia
[3] Univ Ljubljana, Fac Math & Phys, Ljubljana 1001, Slovenia
关键词
Discrete nonlinear boundary value problems; multiple solutions; difference equations; NONLINEAR-SYSTEM; DIFFERENCE-EQUATIONS; MULTIPLE SOLUTIONS; EXISTENCE;
D O I
10.1515/anona-2012-0028
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper by exploiting critical point theory, the existence of two distinct nontrivial solutions for a nonlinear algebraic system with a parameter is established. Our goal is achieved by requiring an appropriate behavior of the nonlinear term f at zero and at infinity. Some applications to difference equations are also presented.
引用
收藏
页码:127 / 146
页数:20
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