Periodic solutions of second order nonlinear difference equations with singular phi-laplacian operatore
Periodic solutions of second order nonlinear difference equations with singular phi-laplacian operatore
复制标题
具有奇异phi-laplacian算子的二阶非线性差分方程的周期解
DOI：
10.1155/2014/637242
复制
发表时间：
2014
影响因子：
1.4
通讯作者：
Lu Yanqiong
中科院分区：
文献类型：
--
作者：
Ma Ruyun;Lu Yanqiong
得到了一类具有奇异算子<$Δuk/1-κ（Δuk）2+rkuk+<$/（uk）λ=ek的离散周期边值问题解的存在性结果， 2 ≤k≤N− 1，u1=uN，且 利用上下解方法和Brouwer度理论得到Δu1= ΔuN− 1，其中κ> 0是常数，r=（r2，...，rN−1），m=（m2，...，mN−1），λ> 0是参数。我们也给出了一些奇异非线性的例子来说明我们的主要结果。
We obtain some existence results of solutions for discrete periodic boundary value problems with singularϕ‐Laplacian operator ∇Δuk/1-κ(Δuk) 2+rkuk+mk/(uk) λ=ek, 2 ≤k≤N− 1,u1=uN, and Δu1= ΔuN−1by using the upper and lower solutions method and Brouwer degree theory, whereκ> 0 is a constant,r= (r2, …,rN−1),m= (m2, …,mN−1),, andλ> 0 is a parameter. We also give some examples with singular nonlinearities to illustrate our main results.