| 右端是Carathéodory函数的二阶积分微分方程的周期边值问题 |
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| 引用本文： | 张立新,张莉,王朝旺.右端是Carathéodory函数的二阶积分微分方程的周期边值问题[J].北京联合大学学报(自然科学版),2011(2):63-67. |
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| 作者姓名： | 张立新 张莉 王朝旺 |
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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： | 北京联合大学中青年骨干教师项目资助,北京联合大学校级科研项目(ZK201011X) |
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| 摘 要： | 考虑二阶Volterra型的积分微分方程的周期边值问题,其中右端函数f满足Carathe-odory条件,推广上、下解法和单调迭代方法,得到了介于下、上解之间的解及最大和最小解的存在性。
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| 关 键 词： | 周期边值问题 广义上、下解 单调迭代方法 |
Periodic Boundary Value Problems for Second Order Integrodifferential Equations with Caratheodory Functions |
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| ZHANGLi-xin,ZHANG Li,WANG Zhao-wang.Periodic Boundary Value Problems for Second Order Integrodifferential Equations with Caratheodory Functions[J].Journal of Beijing Union University,2011(2):63-67. |
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| Authors: | ZHANGLi-xin ZHANG Li WANG Zhao-wang |
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| Institution: | ZHANG Li-xin,ZHANG Li,WANG Zhao-wang(Department of Foundation Courses of Beijing Union University,Beijing 100101,China) |
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| Abstract: | The periodic boundary value problem for second order Volterra type integrodifferential equations,where right-side function f satisfies Caratheodory condition,is studied.The method of lower and upper solutions and monotone iterative technique was generalized to obtain the existence of solutions between lower and upper solutions and maximal and minimal solutions. |
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| Keywords: | periodic boundary value problem generalized upper and lower solutions monotone iterative technique |
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