| 一类含广义p-Laplace算子的积分微分方程的单调方法(英文) |
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| 引用本文： | 魏利,段丽凌,Ravi P.Agarwal.一类含广义p-Laplace算子的积分微分方程的单调方法(英文)[J].应用数学,2012,25(3):577-586. |
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| 作者姓名： | 魏利 段丽凌 Ravi P.Agarwal |
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| 作者单位： | 1. 河北经贸大学数学与统计学院,河北石家庄,050061
2. Department of Mathematical Sciences Florida Institute of Technology, Melbourne,FL 32901 U.S.A. |
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| 基金项目： | Supported by the National Natural Science Foundation of China(11071053);the Natural Science Foundation of Hebei Province(A2010001482);the Project of Science and Research of Hebei Education Department(the second round in 2010) |
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| 摘 要： | 利用极大单调算子和伪单调算子值域的结论,研究一类与广义p-Laplace算子相关的、具混合边值条件的积分微分方程.证明了这个方程解的存在唯一性.本文所研究的问题及所用方法是对以往一些研究工作的推广和补充.
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| 关 键 词： | 极大单调算子 伪单调算子 广义p-Laplace算子 积分微分方程 混合边值条件 |
Monotonicity Methods for a Kind of Integro-differential Equation with Generalized p-Laplacian Operator |
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| WEI Li
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DUAN Liling
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Ravi P.Agarwal.Monotonicity Methods for a Kind of Integro-differential Equation with Generalized p-Laplacian Operator[J].Mathematica Applicata,2012,25(3):577-586. |
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| Authors: | WEI Li DUAN Liling Ravi PAgarwal |
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| Institution: | WEI Li1,DUAN Liling1,Ravi P.Agarwal2 (1.School of Mathematics and Statistics,Hebei University of Economics and Business,Shijiazhuang 050061,China;2.Department of Mathematical Sciences,Florida Institute of Technology,Melbourne,FL 32901,U.S.A.) |
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| Abstract: | By using some results on the ranges of maximal monotone operators and pseudo-monotone operators,a kind of integro-differential equations involving the generalized p-Laplacian operator with mixed boundary conditions is studied in this paper.The existence and uniqueness of the solution to the given equation are obtained.The method used in this paper extends and complements some previous work. |
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| Keywords: | Maximal monotone operator Pseudo-monotone operator Generalized p-Laplacian operator Integro-differential equation Mixed boundary condition |
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