| 二阶Volterra型积分微分差分方程非线性边值问题的存在性与唯一性 |
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| 引用本文： | 石磊. 二阶Volterra型积分微分差分方程非线性边值问题的存在性与唯一性[J]. 生物数学学报, 2010, 0(1): 71-80 |
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| 作者姓名： | 石磊 |
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| 作者单位： | 大连交通大学; |
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| 摘 要： | 本文利用微分不等式技巧研究了某一类Volterra型二阶积分微分差分方程非线性边值问题,在上下解存在的条件下,得到了解的存在性和唯一性定理.结果表明:这种技巧为其它边值问题的研究提出了崭新的思路.
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| 关 键 词： | Volterra型积分微分差分方程 非线性边值问题 微分不等式 |
Existence and Uniqueness of Solutions for Nonlinear Boundary Value Problems of Second Order Volterra Type Integro-Differential-Difference Equation |
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| SHI Lei. Existence and Uniqueness of Solutions for Nonlinear Boundary Value Problems of Second Order Volterra Type Integro-Differential-Difference Equation[J]. Journal of Biomathematics, 2010, 0(1): 71-80 |
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| Authors: | SHI Lei |
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| Affiliation: | SHI Lei (Dalian Jiaotong University,Dalian Liaoning 116028 China) |
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| Abstract: | In this paper,we studied Nonlinear boundary value problems of second order Volterra type integro-differential-difference equation by means of differential inequality theories. Based on suit condition,the existence and unique of solutions was established.The result showed that is seems new to apply these technique to solving other boundary value problems. |
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| Keywords: | Volterra type integro-differential-difference equation Nonlinear boundary value problem Differential inequality. |
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