| Banach空间二阶混合型积分-微分方程的周期边值问题 |
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| 引用本文： | 王信峰.Banach空间二阶混合型积分-微分方程的周期边值问题[J].西南师范大学学报(自然科学版),2009,34(5). |
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| 作者姓名： | 王信峰 |
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| 作者单位： | 北京联合大学基础部,北京,100101 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 考察Banach空间一般的二阶混合型积分-微分方程,利用Monch不动点定理和一个比较不等式,获得了其周期边值问题解的一个存在性定理.这一结果考虑了通常方程中导数与同定限积分算子的作用,改进和推广了现有结果.
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| 关 键 词： | 周期边值问题 积分-微分方程 Banach空间 不动点 |
Periodic Boundary Value Problems of Second Order Integro-differential Equations with Mixed Type in Banach Spaces |
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| WANG Xin-feng.Periodic Boundary Value Problems of Second Order Integro-differential Equations with Mixed Type in Banach Spaces[J].Journal of Southwest China Normal University(Natural Science),2009,34(5). |
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| Authors: | WANG Xin-feng |
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| Abstract: | The author investigates the existence of solutions of periodic boundary value problems for second order integro-differential equation with mixed-type in Banach spaces. By the M6nch fixed point theorem and an inequality, the existence of its solutions is obtained. The result improves and generalizes the specif-ic ones, since it has considered influence of a derivative item and the integral operator item with a fixed limits. |
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| Keywords: | periodic boundary value problem integro-differential equation Banach space fixed point |
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