SEQUENCES OF SMALL HOMOCLINIC SOLUTIONS FOR DIFFERENCE EQUATIONS ON INTEGERS

被引：0
|
作者：
Steglinski, Robert [1 ]
机构：
[1] Lodz Univ Technol, Inst Math, Wolczanska 215, Lodz, Poland
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年
关键词：
Difference equations; discrete p-Laplacian; variational methods; infinitely many solutions; DISCRETE P-LAPLACIAN; DIRICHLET PROBLEM; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we determine a concrete interval of positive parameters lambda, for which we prove the existence of infinitely many homoclinic solutions for a discrete problem -Delta (a(k)phi(p) (Delta u(k - 1)) vertical bar b(k)phi(p) (u(k)) = lambda f (k, u(k)), k is an element of Z, where the nonlinear term f : Z x R -> R has an appropriate oscillatory behavior at zero. We use both the general variational principle of Ricceri and the direct method introduced by Faraci and Kristaly [11].
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页数：12
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