| 奇异四阶积分边值问题正解的存在唯一性 |
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| 引用本文： | 张兴秋.奇异四阶积分边值问题正解的存在唯一性[J].应用数学学报,2010,33(1). |
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| 作者姓名： | 张兴秋 |
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| 作者单位： | 聊城大学数学科学学院,聊城,252059 |
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| 基金项目： | 国家自然科学基金资助项目，聊城大学科研启动基金 |
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| 摘 要： | 利用上下解方法结合极值原理研究了具有积分边值条件的奇异四阶微分方程正解的存在、唯-性,给出了C~20,1]和C~30,1]正解存在唯一的充分条件.非线性项f(t,χ)允许在t=0,1和χ=0处具有奇异性.
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| 关 键 词： | 奇异方程 积分边值问题 上下解 正解 |
Existence and Uniqueness of Positive Solution for Fourth-order Singular Integral Boundary-value Problems |
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| ZHANG XINGQIU.Existence and Uniqueness of Positive Solution for Fourth-order Singular Integral Boundary-value Problems[J].Acta Mathematicae Applicatae Sinica,2010,33(1). |
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| Authors: | ZHANG XINGQIU |
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| Abstract: | By applying upper and lower solutions method together with maximal principle, the existence and uniqueness of positive solution for a class of fourth-order singular differen-tial equations with integral boundary value problems are investigated. Sufficient conditions for the existence and uniqueness of C~20,1] positive solution as well as C~30,1] are given. Our nonlinearity f(t, x) may be singular at x, t = 0 and /or t = 1. |
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| Keywords: | singular equation integral boundary-value problem lower and upper solution positive solution |
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