| 非线性4n阶常微分方程的非线性三点边值问题解的存在性 |
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| 引用本文： | 高永馨,高有.非线性4n阶常微分方程的非线性三点边值问题解的存在性[J].东南大学学报(自然科学版),2002,32(2):288-296. |
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| 作者姓名： | 高永馨 高有 |
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| 作者单位： | 东北电力学院数理系,吉林,132012 |
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| 基金项目： | 东北电力学院科研基金资助项目 |
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| 摘 要： | 利用“上下解”的方法，讨论了非线性4n阶常微分方程y^(4n)=f(t,y,y′，…，y^(4n-1)满足条件g2i(y^2i)(a),y^(2i 1)(a))=0 i=0,1,…，2n-3 g4n-4(y^4n-4(a),y^(4n-3)(a),y^(4n-2)(a),y^(4n-1)(a))=0 g4n-3(y(b),6′(b),…，y^(4n-6)(b))=0 g4n-2(y^4n-5)(b),y^(4n-4)(b))=0 g4n-1(y^4n-3)(b),y^(4n-2)(b))=0 g2i 1(y^2i 1)(c),y^(2i 2(c))=0 i=0,1,…，2n-4 g4n-5(y^(4n-5(c),y^(4n-4)(c),…,y^(4n-1)c(c))=0 的非线性三点边值问题解的存在性.
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| 关 键 词： | 非线性4n阶常微分方程 非线性三点边值问题 存在性 “上下解”法 |
| 文章编号： | 1001-0505(2002)02-0288-09 |
Existence of solutions of nonlinear three-point boundary value problems for nonlinear 4nth-order differential equation |
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| Gao Yongxin,Gao You.Existence of solutions of nonlinear three-point boundary value problems for nonlinear 4nth-order differential equation[J].Journal of Southeast University(Natural Science Edition),2002,32(2):288-296. |
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| Authors: | Gao Yongxin Gao You |
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| Abstract: | |
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| Keywords: | nonlinear 4 n th order differential equation nonlinear three point boundary value problems existence of solutions |
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