Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions
Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions
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DOI：
10.1016/j.aml.2004.05.009
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发表时间：
2005-05
期刊：
影响因子：
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通讯作者：
P. Eloe;B. Ahmad
中科院分区：
文献类型：
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作者：
P. Eloe;B. Ahmad
讨论了一类非线性n阶边值问题的正解的存在性，其中0<η< 1,0 <αηn−1<1。特别地，我们利用krasnoselki和Guo的锥不动点定理，证明了当f是超线性或次线性时，至少有一个正解的存在性。
We discuss the existence of positive solutions of a nonlinear nth order boundary value problem where 0<η<1, 0<αηn−1<1. In particular, we establish the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones due to Krasnoselkiǐ and Guo.