%0 Journal Article
%T 非线性三阶差分方程三点特征值问题的正解<br>Positive Solutions to Three-Point Eigenalue Problems for Nonlinear Third-Order Difference Equations
%A 耿天梅
%A 高承华
%A 王燕霞
%J 四川大学学报 (自然科学版)
%D 2016
%X 在本文中,通过使用锥不动点定理,我们得到离散非线性三阶三点特征值问题的正解的存在 △3u(t-1)= λa(t)f(t,u(t)),t∈[1,T]Z, u(0)=△u(?)=△u(T)=0, 这里 ?∈[[(T2+T)/(3T+2)]+1,T]Z,和λ>0 是一个参数.<br>In this paper, by using the fixed point theorem in cone, we obtain the existence of positive solutions to the discrete nonlinear third-order three-point eigenvalue problem △3u(t-1)= λa(t)f(t,u(t)),t∈[1,T]Z, u(0)=△u(?)=△u(T)=0, where ?∈[[(T2+T)/(3T+2)]+1,T]Z, and λ>0 is a parameter
%K 非线性三阶差分方程
%K 三点特征值问题
%K 正解
%K 锥
%K 不动点定理&lt
%K br&gt
%K Nonlinear third-order difference equation
%K three-point boundary value problem
%K positive solution
%K cone
%K fixed point theorem.
%U http://science.ijournals.cn/jsunature_cn/ch/reader/view_abstract.aspx?file_no=Z160019&flag=1