| 一类非线性投入产出方程的边界不动点方法 |
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| 引用本文： | 张国娟,刘颖范.一类非线性投入产出方程的边界不动点方法[J].南京邮电大学学报(自然科学版),2008,28(3). |
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| 作者姓名： | 张国娟 刘颖范 |
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| 作者单位： | 1. 南京工业大学,理学院,江苏南京,210009
2. 南京邮电大学,数理学院,江苏南京,210003 |
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| 摘 要： | 研究一类非线性投入产出方程(I-A)x=c解的存在性与连续性.借助于拓扑度方法建立一个仅依赖于边界条件的不动点定理,得到了仅依靠消耗算子A在向量集X上的边界性质,便可得出非线性投入产出方程(U-A)x=c解的存在性与连续性的结果.利用该边界不动点方法研究非线性投入产出方程具有实际意义,是切实可行的.
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| 关 键 词： | 投入产出方程 存在性 连续性 拓扑度 不动点定理 |
Boundary Fixed Point Methods for a Class of Nonlinear Input-Output Equation |
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| ZHANG Guo-juan,LIU Ying-fan.Boundary Fixed Point Methods for a Class of Nonlinear Input-Output Equation[J].Journal of Nanjing University of Posts and Telecommunications,2008,28(3). |
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| Authors: | ZHANG Guo-juan LIU Ying-fan |
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| Institution: | ZHANG Guo-juan1,LIU Ying-fan2 1.College of science,Nanjing University of Technology,Nanjing 210009,China2.College of Mathematics , Physics,Nanjing University of Posts , Telecommunications,Nanjing 210003,China |
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| Abstract: | The existance and continutiy were studied for the solution of a class of nonlinear conditional input-output equation(I-A)x=c.A fixed point theorem depending only on the boundary condition was established by using of the topological degree approch.The existance and continutiy of the solution of(I-A)x=c was concluded,which depend only on the boundary conditions of the consumption operator A on vector aggregate X.It was demonstrated to be practical and feasible to apply the fixed point theorem in the nonlinear... |
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| Keywords: | Input-Output equation existence continuity topological degree fixed point theorem |
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