| 非线性项有非线性增长的高阶多点边值问题 |
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| 引用本文： | 王春林 胡适耕. 非线性项有非线性增长的高阶多点边值问题[J]. 应用数学, 1997, 10(1): 37-41 |
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| 作者姓名： | 王春林 胡适耕 |
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| 作者单位： | 华中理工大学!武汉，430074 |
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| 摘 要： | 本文考虑以下高阶多点边值问题：，其中关于f有非线性增长的情况，利用基于度理论的不动点定理，对上述边值问题建立了存在唯一性定理．
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| 关 键 词： | 高阶多点边值问题 非线性增长 不动点定理 存在唯一性定理 |
A Higher Order Mulipoint Boundary Value Problem with Nonlinearity Having Nonlinear Growth |
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| hang Chun lin Hu Shigeng Huang zhenghai Cheng Shijie. A Higher Order Mulipoint Boundary Value Problem with Nonlinearity Having Nonlinear Growth[J]. Mathematica Applicata, 1997, 10(1): 37-41 |
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| Authors: | hang Chun lin Hu Shigeng Huang zhenghai Cheng Shijie |
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| Affiliation: | hang Chun lin Hu Shigeng Huang zhenghai Cheng Shijie |
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| Abstract: | In this paper we condder the following higher order multipoint boUndare value PrOblem: ,where are given and . For the case that f has nonlinear growth, using certai thed pont theorem based on the degree theory, we establish the existene and uniqtieness theorems for the above problem. The results of the paper gen eralize and improve the main theorems both in the paPer[l] of Gupta and in the paper [2] of Gupta and Lakshmikantham. |
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| Keywords: | Higher order multipoint boundary value problem Nonlinear growth Fixed point theorem Existence and uniqueness theorem |
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