| 一类半线性积分微分方程初边值问题的爆破解和全局解 |
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| 引用本文： | 崔尚斌,马玉兰.一类半线性积分微分方程初边值问题的爆破解和全局解[J].应用数学,1993,6(4):445-451. |
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| 作者姓名： | 崔尚斌 马玉兰 |
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| 作者单位： | 兰州大学数学系 730001(崔尚斌)，太原重型机械学院 030024(马玉兰) |
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| 基金项目： | 兰州大学科研基金，国家青年科学基金 |
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| 摘 要： | 本文研究初边值问题的爆破解和全局解，证明了在ｆ的凸性假设和一定的增长性假定下解在有限时刻爆破，而在ｆ的其他假设下证明了全局解的存在性。
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| 关 键 词： | 积分微分方程 初边值问题 全局解 |
Blow-up Solutions and Global Solutions for a Class of Semilinear Integrodifferential Equations |
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| Cui Shangbin.Blow-up Solutions and Global Solutions for a Class of Semilinear Integrodifferential Equations[J].Mathematica Applicata,1993,6(4):445-451. |
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| Authors: | Cui Shangbin |
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| Abstract: | This paper is devoted to the studying of the following initial boundary value problem:Under certain hypotheses on the nonlinear term f,it is proved that the solution of this problem is sure to blow up at a certain time,and that the global solution of this problem exists if the function f satisfies some other conditions. |
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| Keywords: | Integrodifferential equations Initial boundary value problems Blow-up solutions Global solutions |
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