| 一类完全三阶两点边值问题解的存在性与唯一性 |
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| 作者单位： | ;1.西北师范大学数学与统计学院 |
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| 摘 要： | 讨论如下完全三阶两点边值问题{-u(t)=f(t,u(t),u′(t),u″(t)),{t∈0,1],u(0)=u′(0)=u′(1)=0解的存在性与唯一性.其中f(t,x,y,z):0,1]×R3→R为连续函数.在f(t,x,y,z)关于z满足Nagumo型增长条件下,应用上下解方法与截断技巧,获得了该问题解的存在性和唯一性结果.
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| 关 键 词： | 三阶两点边值问题 上解 下解 Nagumo条件 |
Existence and Uniqueness for a Class of Fully Third-Order Two-Point Boundary Value Problems |
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| Institution: | ,College of Mathematics and Statistics,Northwest Normal University |
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| Abstract: | In this paper,the existence and uniqueness was discussed for a class of fully third-order two-point boundary value problems,{-u(t)=f(t,u(t),u′(t),u″(t)),{t∈0,1],u(0)=u′(0)=u′(1)=0,where f(t,x,y,z):0,1]×R3→Ris continuous and satisfy the Nagumo-type growth condition on z.We obtain the existence and uniqueness result via the lower and upper solution method and a special truncating technique. |
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| Keywords: | Third-order two-point boundary value problems upper solutions lower solutions Nagumo condition |
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