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多复变中一个带Haseman位移及共轭值的非线性边值问题
A NONLINEAR BOUNDARV VALUE PROBLEM WITH HASEMAN SHIFT AND CONJUGATE VALUE IN SEVERAL COMPLEX ANALYSIS
【摘要】 研究多复变中一个带Haseman位移及共轭值的非线性边值问题.利用积分方程方法和 Schauder不动点原理给出问题解的存在性和积分表示,并用压缩映象原理证明了线性问题解的唯一性
【Abstract】 In this paper, we discuss a nonlinear boundary value problem with Haseman shift and conjugate value in several complex analysis. Applying the method of integral equations and Shauder fixed point theorem, we show existence of solution for the above problem and prove the uniqueness of the solution of the linear problem by the contraction mapping theorem.
【关键词】 Haseman位移;
共轭值;
Schauder不动点原理;
非线性边值问题;
【Key words】 Haseman shift; conjugate value; Schauder fixed point theorem; noalinear boundary value problem.;
【Key words】 Haseman shift; conjugate value; Schauder fixed point theorem; noalinear boundary value problem.;
【基金】 国家自然科学基金!19771068;河北省自然科学基金
- 【文献出处】 系统科学与数学 ,JOURNAL OF SYSTEMS SCIENCE AND MATHEMATICAL SCIENCES , 编辑部邮箱 ,2000年02期
- 【分类号】O174
- 【下载频次】36