摘要
研究一类具p-Laplace算子的微分方程四点边值问题解的存在性.通过一个形式参数,将该问题间接地转化为一个等价的积分算子不动点问题.在非线性项有界、无界以及局部有界条件下,利用Schauder不动点定理分别得到了边值问题解存在的充分条件.
The existence of solutions of a type of four-points boundary value problem of differential equations with p-Laplacain was studied and this problem was indirectly turned into integral operator fixed point problem in a parametric form. Sufficient conditions of the existence of solutions were obtained by using Schauder's fixed point theorem bounded and locally bounded, respectively. on condition that the non-linear term is bounded, un
出处
《上海理工大学学报》
EI
CAS
北大核心
2008年第4期319-323,共5页
Journal of University of Shanghai For Science and Technology
基金
上海市教委科研项目资助(05EZ52)