Banach空间非线性混合型微分-积分方程的解 |
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引用本文: | 刘立山.Banach空间非线性混合型微分-积分方程的解[J].数学学报,1995,38(6):721-731. |
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作者姓名: | 刘立山 |
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作者单位: | 曲阜师范大学数学系 |
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摘 要: | 本文利用一些新的比较结果研究了Banach空间中非线性混合型微分积分方程初值问题的最大解和最小解,唯一解以及解的迭代逼近,统一和推广了最近的许多结果。
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关 键 词: | 混合型微分-积分方程,单调迭代方法,非紧性测度 |
收稿时间: | 1993-08-17 |
The Solutions of Nonlinear Integro-Differelitial Equations of Mixed Type in Banach Spaces |
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Institution: | Lishan(Department of Mathematics,Qufu Normal University,Qufu273165,China) |
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Abstract: | In this paper,by use of some new comparison results,the max1mal and minimal solutions, the unique solution and iterative apprOximation of solutions of the initial value problem for nonlinear integro-differential equations of mixed type in Banach spaces are investigated.The results presented here unify and extend many recent results. |
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Keywords: | ntegro-differential equations of mixed type monotone iterative technique measure of noncompactness |
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