| 抽象空间中非线性弹性梁方程的迭代解 |
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| 引用本文： | 张培国.抽象空间中非线性弹性梁方程的迭代解[J].太原师范学院学报(自然科学版),2011,10(3). |
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| 作者姓名： | 张培国 |
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| 作者单位： | 菏泽学院初等教育系,山东菏泽,274000 |
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| 基金项目： | 菏泽学院科研基金资助项目(XY10SX01) |
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| 摘 要： | 运用新的比较结果和上下解方法研究抽象空间中非线性奇异弹性梁方程迭代解的存在性,得到了关于C0,1]迭代解存在性的新结果.
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| 关 键 词： | Banach空间 弹性梁方程 迭代解 锥 |
Iterative Solutions of Nonlinear Elastic Beam Equation in Abstract Space |
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| Zhang Peiguo.Iterative Solutions of Nonlinear Elastic Beam Equation in Abstract Space[J].Journal of Taiyuan Normal University:Natural Science Edition,2011,10(3). |
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| Authors: | Zhang Peiguo |
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| Institution: | Zhang Peiguo(Department of Elementary Education,Heze University,Heze 274000,China) |
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| Abstract: | By using a new comparison result and the method of lower and upper solutions,the existence of solutions is established for the singular nonlinear elastic beam equation in abstract space.A new result on the existence of C solutions for this class of differential equations is derived. |
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| Keywords: | Banach space elastic beam equation iterative solution cone |
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