| Banach 空间中奇异积分-微分方程边值问题多解的存在性 |
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| 引用本文： | 陈燕来,秦宝侠. Banach 空间中奇异积分-微分方程边值问题多解的存在性[J]. 系统科学与数学, 2005, 25(5): 550-561 |
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| 作者姓名： | 陈燕来 秦宝侠 |
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| 作者单位： | 1. 山东大学经济学院,济南,250100
2. 徐州师范大学数学系,徐州,221116 |
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| 基金项目： | 国家自然科学基金(10371066)资助课题． |
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| 摘 要： | 通过建立一个特殊的锥,运用锥拉伸与锥压缩不动点定理,获得了Banach空间中一类非线性混合型奇异积分-微分方程边值问题多解的存在性．
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| 关 键 词： | 奇异边值问题 锥拉伸与锥压缩不动点定理 非紧性测度 正规锥 |
| 修稿时间： | 2003-10-22 |
THE MULTIPLE SOLUTIONS FOR SINGULAR BOUNDARY VALUE PROBLEMS OF NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES |
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| Chen Yanlai,Qin Baoxia. THE MULTIPLE SOLUTIONS FOR SINGULAR BOUNDARY VALUE PROBLEMS OF NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES[J]. Journal of Systems Science and Mathematical Sciences, 2005, 25(5): 550-561 |
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| Authors: | Chen Yanlai Qin Baoxia |
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| Affiliation: | (1)Economics School of Shandong University, Jinan 250100;(2)Department of Mathematics, Xuzhou Normal University, Xuzhou 221116 |
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| Abstract: | Using the fixed point theorem on cones, the existence of multiple solutions for a class of singular boundary value problems of nonlinear integro-differential equations of mixed type in Banach spaces is obtained. |
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| Keywords: | Singular boundary value problem fixed point theorem in cone measure of noncompactness normal cone. |
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