| 一类含参二阶三点边值问题正解的存在性及多解性 |
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| 引用本文： | 丁建华.一类含参二阶三点边值问题正解的存在性及多解性[J].兰州铁道学院学报,2010,29(1):146-150. |
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| 作者姓名： | 丁建华 |
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| 作者单位： | 兰州交通大学数理与软件工程学院; |
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| 摘 要： | 考虑含参二阶三点边值问题u″+λg(t)f(u)=0,00是参数;0<α<1;0<η<1是给定的实数;g∈C(0,1],0,∞]);非线性项f满足:f∈C((0,∞),(0,∞),且f0∶=li mf(uu)∈0,∞],f∞∶=li mf(uu)∈0,∞].在f0,f∞取不同值的各种情形下,用锥上的不动点定理得到了问题(1)正解存在,多解性和不存在的结论及相应的参数λ的取值范围.
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| 关 键 词： | 三点边值问题 正解 存在性 多解性 参数 |
Existence Multiplicity and Dependence on a Parameter for a Second-order Three-point Boundary Value Problem |
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| DING Jian-hua.Existence Multiplicity and Dependence on a Parameter for a Second-order Three-point Boundary Value Problem[J].Journal of Lanzhou Railway University,2010,29(1):146-150. |
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| Authors: | DING Jian-hua |
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| Institution: | Department of Mathematics/a>;Physics & Software Engineering/a>;Lanzhou Jiaotong University/a>;Lanzhou 730070/a>;China |
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| Abstract: | |
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| Keywords: | three-point boundary value problem positive solution existence multiplicity of solutions parameter |
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