| 一类强非线性积微分方程的解 |
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| 引用本文： | 韦维. 一类强非线性积微分方程的解[J]. 贵州科学, 2003, 21(1): 20-24 |
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| 作者姓名： | 韦维 |
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| 作者单位： | 贵州大学,数学系,贵州,贵阳,550025 |
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| 基金项目： | 贵州省重大基础研究项目 |
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| 摘 要： | 讨论一类强非线性积微分方程解的存在性和唯一性。应用单调算子理论和带时滞的Gronwa11不等式，证明了一类含单调非线性算子和非单调扰动的积微分方程解的存在性和唯一性。
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| 关 键 词： | 强非线性积微分方程 解 存在性 唯一性 单调算子理论 Gronwa11不等式 单调非线性算子 |
SOLUTIONS FOR A CLASS OF STRONGLY NONLINEAR INTEGRO- DIFFERENTIAL EQUATIONS |
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| Abstract. SOLUTIONS FOR A CLASS OF STRONGLY NONLINEAR INTEGRO- DIFFERENTIAL EQUATIONS[J]. Guizhou Science, 2003, 21(1): 20-24 |
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| Authors: | Abstract |
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| Abstract: | In this paper, existence and uniqueness of solutions of strongly nonlinear integro-differential equations are considered. The equations contain a nonlinear monotone operator and nonlinear nonmonotone perturbation. The existence and uniqueness results of solutions are obtained by using the theory of monotone operators and Gronwall lemma with delay. |
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| Keywords: | existence monotone operator nonlinear integro-differential equations |
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