| 一个非局部方程解的存在性 |
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| 引用本文： | 谌跃中,王远弟.一个非局部方程解的存在性[J].应用数学,2002,15(2):29-33. |
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| 作者姓名： | 谌跃中 王远弟 |
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| 作者单位： | 上海大学数学系,上海,200436 |
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| 基金项目： | Grant 99QA6 5ofShanghaiEducationCommission . |
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| 摘 要： | 本文旨在讨论一个线性非局部方程和相应非线性方程解存在的条件，对非局部积分核作一定限制后，得到在积分核变号条件下解的存在唯一性结果。
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| 关 键 词： | 非局部方程 解 边值问题 存在性 唯一性 积分核 微分方程 |
Existence of Solutions for One Nonloc al Equation |
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| CHEN Yue-zhong,WANG Yuan-di.Existence of Solutions for One Nonloc al Equation[J].Mathematica Applicata,2002,15(2):29-33. |
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| Authors: | CHEN Yue-zhong WANG Yuan-di |
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| Abstract: | The purpose of this paper is to investigate the existence and the uniqueness of solutions to boundary value problems for linear and nonlinear nonlocal equation. Under weaker assumption on the nonlocal integral kernel, we get the monotonic behavior of solutions for linear problem and one sufficient condition for the existence and the uniqueness of solutions for nonlinear problems with alternative kernel. |
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| Keywords: | Nonlocal Boundary value problem Existence Uniqueness |
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