Banach空间中二阶非线性混合型脉冲积分-微分方程的边值问题 |
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引用本文: | 王文霞,石漂漂. Banach空间中二阶非线性混合型脉冲积分-微分方程的边值问题[J]. 山西大学学报(自然科学版), 2009, 32(4) |
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作者姓名: | 王文霞 石漂漂 |
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作者单位: | 王文霞(太原师范学院,数学系,山西,太原,030012);石漂漂(晋中学院,数学学院,山西,晋中,030600) |
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摘 要: | 利用上下解方法以及单调迭代技术给出了Banach空间中含有非线性一阶微分项x'(t)和偏差项x(β(t))的二阶脉冲积分-微分方程边值问题存在最大最小解的充分条件.作为应用,给出了一个无限系统的例子.
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关 键 词: | 脉冲积分一微分方程 边值问题 上下解 |
Boundary Value Problems for Nonlinear Impulsive Integro-differential Equations for Mixed Type in Banach Space |
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Abstract: | In this paper, by using the monotone iterative technique, the existence of maximal and minimal so-lutions of boundary value problems for second-order impulsive differential equations which nonlinearly in-volve the derivative arguments x' and the deviating arguments x(β(t)) in Banach space is discussed and an example of infinite system is given to illustrate our results. |
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Keywords: | impulsive integro-differential equation boundary value problems upper and lower solution |
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