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关于微分方程论文范文 带p—Laplacian算子分数阶微分方程正解相关论文写作参考文献

分类:硕士论文 原创主题:微分方程论文 更新时间:2024-01-15

带p—Laplacian算子分数阶微分方程正解是关于微分方程方面的论文题目、论文提纲、微分方程解法论文开题报告、文献综述、参考文献的相关大学硕士和本科毕业论文。

摘 要:研究一类带p-Laplacian算子的高阶多点Caputo分数阶微分方程:

利用定理1,上述边值问题至少有1个正解.

参考文献/References:

[1] LIU Yuji,AHMAD B, AGARWAL R P. Existence of solutions for a coupled system of nonlinear fractional differential equations with fractional boundary conditions on the half-line[J]. Advances in Difference Equations,2013(1):666-686.

[2] GUO Yanping,JI Yude, LIU Xiujun. Multiple positive solutions for some multi-point boundary value problems with p-laplacian[J]. Journal of Computational and Applied Mathematics,2008,216(1):144-156.

[3] JI Yude,GUO Yanping,ZHANG Jiehua. Positive solutions for second-order quasilinear multi-point boundary value problems[J]. Applied Mathematics and Computation,2007,189(1):725-731.

[4] GUO Yanping. Positive solutions for three-point boundary value problems with dependence on the first order derivatives[J].Journal of Mathematical Analysis and Applications,2004,290(1):291-301.

[5] CHEN Taiyong,LIU Wenbin. An anti-periodic boundary value problem for the fractional differential equation with a p-Laplacian operator[J].Applied Mathematics Letters,2012,25(11):1671-1675.

[6] SUN Yongping,ZHAO Ming. Positive solutions for a class of fractional differential equations with integral boundary conditions[J]. Applied Mathematics Letters,2014,34:17-21.

[7] ZHAI Chengbo,XU Li. Properties of positive solutions to a class of four-point boundary value problem of Caputo fractional differential equations with a parameter[J]. Communications in Nonlinear Science and Numerical Simulation,2014,19(8):2820-2827.

[8] CABADA A,WANG Guotao. Positive solutions of nonlinear fractional differential equations with integral boundary value conditions[J].Journal of Mathematical Analysis and Applications,2012,389(4):403-411.

[9] CABADA A,HAMDI Z. Nonlinear fractional differential equations with integral boundary value conditions[J]. Applied Mathematics and Computation,2014,389(9):251-257.

[10]ZHANG Lihong,AHMAD B,WANG Guotao,et al. Nonlinear fractional integro-differential equations on unbounded domains in a Banach space[J]. Journal of Computational and Applied Mathematics,2013,249(6):51-56.

[11]JANKOWSKI T. Positive solutions to fractional differential equations involving Stieltjes integral conditions[J]. Applied Mathematics and Computation, 2014,241(3):200-213.

[12]ZHANG Xingqiu. Positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions[J]. Applied Mathematics Letters,2015,39:22-27.

总结:本论文主要论述了微分方程论文范文相关的参考文献,对您的论文写作有参考作用。

参考文献:

1、 带p—Laplacian算子三阶微分方程边值问题正解存在性 摘要:许多不同应用数学和物理领域的研究都可归结为带有pLaplacian算子的边值问题,因此对此问题的研究具有重要的理论意义和应用价值。本文讨论。

2、 分数阶脉冲微分方程边值问题解存在性 摘要:为了解决对半无穷区间上具有可数个脉冲点且带有积分边界条件的分数阶脉冲微分方程边值问题,具体研究此类微分方程边值问题解的存在性。通过定义合适。

3、 无穷区间上含有p—Laplacian算子n阶积分边值问题正解存在性 摘要:运用Leray-Schauder非线性抉择定理研究了一类无穷区间上含有p-Laplacian算子的n阶微分方程积分边值问题:(φp(x(。

4、 具有pLaplacian算子共振微分方程组解存在性 摘要:为了研究具有非线性分数阶微分算子的微分方程共振边值问题解的存在性,引入了推广的Mawhin 连续定理,通过定义合适的Banach空间及范数。

5、 基于模糊RBF神经网络分数阶滑模控制器优化设计 摘 要: 针对神经滑模控制系统中存在的对先验数据依赖性较强的问题,结合RBF神经网络的泛化能力和自学习能力以及模糊推理算法的强适应能力,提出基于。

6、 上覆分数阶粘弹性饱和场地土位移地震放大系数 摘要:考虑土体液相和固相的耦合作用,将基岩上覆场地土视为两相饱和多孔介质。为了考虑饱和场地土的粘弹性特性,其固相土骨架的应力应变关系利用分数阶K。