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具p-Laplace算子的分数阶微分方程边值问题的正解 被引量：3

Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator
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摘要 考虑具有p-Laplace算子的分数阶泛函微分方程边值问题,利用锥上的不动点定理,得到了其正解及多个正解存在的充分条件,所得结果推广了已有的结论,并举例说明了结论的适用性. The boundary value problem of fractional functional differential equations with p- Laplacian operator are studied. Using the fixed point theorem on cones, sufficient conditions are given for the existence of single and multiple positive solutions. The results generalize some previous results. Several examples are given to illustrate the results.
作者 宋利梅
机构地区 嘉应学院数学学院
出处 《高校应用数学学报（A辑）》 CSCD 北大核心 2014年第4期443-452,共10页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 广东省教育厅资助项目(GDJG20142449) 广东省梅州市科学技术局与嘉应学院联合资助项目(2014KJY03)
关键词 分数阶泛函微分方程 P-LAPLACE算子 边值问题 不动点定理 正解 fractional functional differential equation p-Laplacian operator boundary valueproblem fixed point theorem positive solution
分类号 O175.8 [理学—基础数学]
  • 相关文献

参考文献9

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共引文献59

同被引文献28

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高校应用数学学报（A辑）
2014年 第4期

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