一类含广义p-Laplace算子的积分微分方程的单调方法(英文)  

Monotonicity Methods for a Kind of Integro-differential Equation with Generalized p-Laplacian Operator

作　　者：魏利[1] 段丽凌[1] Ravi P. Agarwal 

机构地区：[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.

出　　处：《应用数学》2012年第3期577-586,共10页Mathematica Applicata

基　　金：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)

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.By using some results on the ranges of maximal monotone operators and pseudo-mono- tone operators,a kind of integro-differential equations involving the generalized p-Laplacian opera- tor 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.

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 

分 类 号：O177.91[理学—数学]