期刊文献+

带有p-Laplacian算子模型的分数阶四点边值问题正解的存在性

Existence of Positive Solutions for A Fractional Four-Point Boundary Value Problem with P-Laplacian Operator
原文传递
导出
摘要 研究了一类带有p-Laplacian算子的分数阶微分方程四点边值问题,利用不动点定理,得到了该边值问题至少存在一个正解的充分条件. In this paper, by using the the fixed point theorem, we obtain the existence of the positive solutions for a fractional four-point boundary value problem with p-Laplacian operator.
出处 《数学的实践与认识》 北大核心 2017年第13期271-276,共6页 Mathematics in Practice and Theory
基金 黑龙江省教育厅科学技术研究项目(12543079)
关键词 分数阶微分方程 P-LAPLACIAN算子 不动点定理 正解 fractional differential equation p-Laplacian operator the fixed point theorem positive solution
  • 相关文献

参考文献3

二级参考文献20

  • 1Heping Jiang(Dept. of Math.,Huangshan University,Huangshan 245041,Anhui) Wei Jiang(School of Mathematical Science,University of Anhui,Hefei 230039).EXISTENCE OF MILD SOLUTIONS TO SEMILINEAR FRACTIONAL ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2011,27(3):318-322. 被引量:4
  • 2张淑琴.EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER[J].Acta Mathematica Scientia,2006,26(2):220-228. 被引量:27
  • 3Han Zhen-lai, Lu Hong-ling, Zhang Chao. Positive solutions for value problems of fractional differential equation with generalized p-Laplacian[J]. Applied Mathematics and Computation, 2015(257): 526-536.
  • 4Chai Guo-qing. Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator[J]. Boundary Value Problems, 2012, 2012: 18-38.
  • 5Zhang Xing-qiu, Wang Lin, Sun Qian. Existence of positive solution for a class of nonlinear frac- tional differential equations with integral boundary conditions and parameter[J]. Applied Mathe- matics and Computation, 2014, 226: 708-718.
  • 6Su Xin-wei. Existence of positive solutions for boundary value problem of nonlinear Fractional Differential Equations[J]. Appl Math J Chinese Univ Set, 1993B, 22(3): 291-298.
  • 7Guo Da-jun. Nonlinear Integral Equations[M].济南,山东科技出版社,1987.
  • 8Krasnosel' skill M A. Positive Solution of Operator Equation[M]. Noordhoff, Groningen, 1964.
  • 9Guo Da-jun, Lashmikantham V. Nonlinear Problems in Abstract Cones[M]. Academic Press, San Diego, 1988.
  • 10Leggett R W, Williams L R. Multiple positive solutions of nonlinear operators on ordered Banach spaces[J]. Indiana Univ Math J, 1979, 28: 673-688.

共引文献14

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部