时标上具有p-Laplacian算子的二阶四点边值问题对称正解的存在性  

Existence of symmetric positive solutions for second-order four-point boundary value problems with a p-Laplacian operator on time scales

作　　者：路月峰[1] 葛渭高[1] 

机构地区：[1]北京理工大学理学院,北京100081

出　　处：《中国石油大学学报（自然科学版）》2009年第2期174-176,共3页Journal of China University of Petroleum(Edition of Natural Science)

基　　金：国家自然科学基金项目(10671012)

摘　　要：利用锥上的不动点指标定理分析讨论了时标上一类具有p-Laplacian算子的二阶四点边值问题,得到了这类边值问题对称正解的存在性和非存在性结果。By using a fixed point index theorem in cones, a class of second-order four-point boundary value problem with a p-Laplacian operator on time scales was studied. Sufficient conditions for the existence and nonexistence of symmetric positive solutions for the boundary value problem were obtained.

关 键 词：对称正解 四点边值问题 P-LAPLACIAN 时标 

分 类 号：O175.8[理学—数学]