| Existence and iteration of monotone positive solutions for a third-order two-point boundary value problem |
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| 作者单位： | SUN Yong-ping School of Electronics and Information，Zhejiang University of Media and Communications，Hangzhou 310018，China |
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| 基金项目： | 浙江省自然科学基金
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the XNF of Zhejiang University of Media and Communications
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| 摘 要： | The existence of nondecreasing positive solutions for the nonlinear third-order twopoint boundary value problem u′″（t） ＋ q（t）f（t,u（t）,u′（t）） = 0, 0 〈 t 〈 1, u（0） = u″（0） = u′（1） = 0 is studied. The iterative schemes for approximating the solutions are obtained by applying a monotone iterative method.
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| 关 键 词： | 三阶两点边值问题 单调迭代法 正解 存在性 |
Existence and iteration of monotone positive solutions for a third-order two-point boundary value problem |
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| Authors: | Yong-ping Sun |
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| Institution: | School of Electronics and Information, Zhejiang University of Media and Communications, Hangzhou 310018, China |
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| Abstract: | The existence of nondecreasing positive solutions for the nonlinear third-order two-point boundary value problem u'(t) q(t)f(t,u(t),u'(t)) = 0,0 < t < 1,u(0) = u'(0) = u'(1) = 0 is studied.The iterative schemes for approximating the solutions are obtained by applying a monotone iterative method. |
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| Keywords: | third-order two-point boundary value problem monotone iterative method positive solution existence iterative scheme |
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