| 一阶隐式微分方程广义初值问题解的存在性 |
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| 引用本文： | 姚晓斌,彭康青,段克峰,杜争光. 一阶隐式微分方程广义初值问题解的存在性[J]. 佳木斯工学院学报, 2010, 0(5): 763-766 |
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| 作者姓名： | 姚晓斌 彭康青 段克峰 杜争光 |
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| 作者单位： | 陇南师范高等专科学校数学系,甘肃成县742500 |
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| 基金项目： | 陇南师范高等专科学校科研项目（2009LSZK06008） |
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| 摘 要： | 讨论一阶隐式微分方程广义初值问题在Banach空间中解的存在性,运用Schauder不动点定理建立了所研究问题解的存在性.
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| 关 键 词： | 隐式微分方程 初值问题 α（β）-Lipschitz |
Existence of Solutions of First Order Implicit Differential Equation with Generalized Initial Value Problem |
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| YAO Xiao-bin,PENG Kang-qing,DUAN Ke-feng,DU Zheng-guang. Existence of Solutions of First Order Implicit Differential Equation with Generalized Initial Value Problem[J]. , 2010, 0(5): 763-766 |
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| Authors: | YAO Xiao-bin PENG Kang-qing DUAN Ke-feng DU Zheng-guang |
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| Affiliation: | (Department of mathematics,Longnan Teachers College,Chengxian 742500,China) |
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| Abstract: | In this paper,the existence of solutions of first order implicit differential equation with generalized initial value problem in Banach space was studied.The existence of solutions for the studied problem was proved by means of Schauder fixed point theorem. |
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| Keywords: | implicit differential equation initial value problem α（β）-Lipschitz |
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