| 一类在R^2上的半线性双调和方程正整解的存在性 |
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| 引用本文： | 许兴业.一类在R^2上的半线性双调和方程正整解的存在性[J].应用数学,1997,10(1):106-110. |
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| 作者姓名： | 许兴业 |
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| 作者单位： | 广东教育学院数学系!广州，510303 |
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| 摘 要： | 本文以Schander－Tychonoff不动点定理为工具，建立了一类平面上半线性双调和方程的正的径向对称的整体解的存在性定理，并给出了解的有关性质．
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| 关 键 词： | 双调和方程 正整解 控制收敛定理 连续映照 不动点定理 |
The Exsitence of Positive Entire Solutions of a Class of Semilinear Biharmonic Equations on R~2 |
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| Xu Xingye.The Exsitence of Positive Entire Solutions of a Class of Semilinear Biharmonic Equations on R~2[J].Mathematica Applicata,1997,10(1):106-110. |
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| Authors: | Xu Xingye |
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| Institution: | The Math. Department of GuangDong College of Education |
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| Abstract: | This paper aims at establishing the theorems of the exsitence of positive radial s3'mmetry entire solutions of a class of semilinear bihartnonic equations on R2 with the Schauder-Tychonoff fixed point theorem as the principal tool, presents about the propertic of the solutions. |
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| Keywords: | Biharmonic equation Positive entire solution Dominated convergence theorem Continuous mapping Fixed point theorem |
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