Please wait a minute...
高校应用数学学报
高校应用数学学报  2014, Vol. 29 Issue (3): 341-353    
    
分数阶$p$-Laplacian系统两点边值问题的解
孔祥山1, 李海涛2
1. 青岛滨海学院 大专理科基础学院, 山东青岛 266555
2. 山东大学 控制科学与工程学院, 山东济南 250061
Solutions to two-point boundary value problems of fractional $p$-Laplacian systems
 KONG Xiang-shan1, LI Hai-tao2
1. Basic Science Department, Qingdao Binhai University, Qingdao 266555, China
2. School of Control Science and Engineering, Shandong University, Jinan 250061, China
 全文: PDF 
摘要： 利用Schaefer不动点定理研究了分数阶$p$-Laplacian系统两点边值问题解的存在性, 通过将系统转化为算子方程, 在非线性项满足一定增长性的条件下得到了系统至少存在一个解的充分条件, 并给出了相关的应用.
关键词： 分数阶$p$-Laplacian系统;  两点边值问题;  Schaefer不动点定理    
Abstract: Using the Schaefer fixed point theorem, the existence of solutions to two-point boundary value problems of fractional p-Laplacian systems is studied. Under certain growth conditions of the nonlinearity, a sufficient condition is obtained for the existence of at least one solution by converting the system into an operator equation. Finally, the application of the obtained results is illustrated.
Key words: fractional p-Laplacian system    two-point boundary value problem    Schaefer fixed point theorem
收稿日期: 2013-01-27 出版日期: 2018-06-10
CLC:  O175.6  
基金资助: 国家自然科学基金(G61174036)
服务　　
把本文推荐给朋友
加入引用管理器
E-mail Alert
RSS
作者相关文章　　
孔祥山
李海涛

引用本文:

孔祥山, 李海涛. 分数阶$p$-Laplacian系统两点边值问题的解[J]. 高校应用数学学报, 2014, 29(3): 341-353.

KONG Xiang-shan, LI Hai-tao. Solutions to two-point boundary value problems of fractional $p$-Laplacian systems. Applied Mathematics A Journal of Chinese Universities, 2014, 29(3): 341-353.

链接本文:

http://www.zjujournals.com/amjcua/CN/    或    http://www.zjujournals.com/amjcua/CN/Y2014/V29/I3/341

[1] 孙玉东, 王秀芬. 基于美式障碍期权定价的非线性变分不等式问题[J]. 高校应用数学学报, 2015, 30(1): 43-54.