| 抽象空间中一类带奇异性的混合型积分-微分方程边值问题的正解 |
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| 引用本文： | 王家玉,杨兴民,李信明. 抽象空间中一类带奇异性的混合型积分-微分方程边值问题的正解[J]. 数学的实践与认识, 2008, 38(20) |
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| 作者姓名： | 王家玉 杨兴民 李信明 |
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| 摘 要： | 利用不动点指数理论,研究了Banach空间中一类带奇性的混合型积分——微分方程边值问题正解的存在性,得到了多个正解存在的充分条件,并给出了相应的例子以说明所得结果的合理性和应用性.
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| 关 键 词： | 锥 积分-微分方程 正解 不动点指数 不动点定理 |
Positive Solutions for a Class of Singular Boundary Value Problem of Mixed Integro-Differential Equation in Abstract Space |
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| WANG Jia-yu,YANG Xing-min,LI Xin-ming. Positive Solutions for a Class of Singular Boundary Value Problem of Mixed Integro-Differential Equation in Abstract Space[J]. Mathematics in Practice and Theory, 2008, 38(20) |
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| Authors: | WANG Jia-yu YANG Xing-min LI Xin-ming |
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| Abstract: | By applying the fixed point index theory,we study the existence of positive solutions for a class of singular boundary value problem of mixed integro-differential equation in Banach space.Some sufficient conditions are given to guarantee the existence of multiple positive solutions for such system.An examples is worked out to demonstrate the applications of our results. |
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| Keywords: | cone integral-differential equation positive solution fixed point index fixed point theorem |
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