节点文献
一类四阶三点奇异边值问题正解存在的充分必要条件
A Necessary and Sufficient Condition for theExistence of Positive Solutions for a Nonlinear Forth Order Three-point Boundary Walue Problem
【摘要】 利用锥拉伸压缩不动点定理得到四阶三点边值问题在非线形项同超线性,或一次线性一超线性情况下,有C2[0,1]和C3[0,1]正解的充分必要条件.
【Abstract】 The existence of positive solutions for singular fourth order three-point boundary value problem was investigated. A neceessary and sufficient condition for the existence of C2[0,1],C3[0, 1] positive solutions is obtained under the condition that nonlinear item are all superlinear or one is superlinear, another is sublinear by constructing with fixed point theorem of cone expansion and compression.
- 【文献出处】 聊城大学学报(自然科学版) ,Journal of Liaocheng University(Natural Science Edition) , 编辑部邮箱 ,2006年04期
- 【分类号】O175.8
- 【被引频次】2
- 【下载频次】37