节点文献
二阶差分方程边值问题的一个存在定理
An existence theorem of solution to boundary-value problem governed by second-order difference equation
【摘要】 运用拓扑度理论获得了如下边值问题Δ2 u(k) +g(k)f(u(k) ) =0 , k∈ [0 ,T]u(0 ) =0 =u(T+2 )的一个新的存在定理 ,其中T为固定的正整数
【Abstract】 The topological degree theory is applied to obtain an new existence theorem of solution to the following boundary value problem Δ 2u(k)+g(k)f(u(k))=0, k∈ u(0)=0=u(T+2),where T is a fixed positive integer.
【关键词】 差分方程;
边值问题;
正解;
存在性;
【Key words】 difference equation; boundary value problem; positive solution; existence;
【Key words】 difference equation; boundary value problem; positive solution; existence;
【基金】 甘肃省自然科学基金 (ZS0 2 2 A2 5 0 0 3 )
- 【文献出处】 甘肃工业大学学报 ,Journal of Gansu University of Technology , 编辑部邮箱 ,2003年01期
- 【分类号】O175.7
- 【被引频次】9
- 【下载频次】91