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中文摘要：
为了进一步发展和完善四阶边值问题正解的存在性理论,研究了下面的四阶边值问题u（4）=f（t,u（t）,u＇（t）,u″（t）,u＇＇＇（t））,0≤t≤1u＇（0）=u″（0）=u＇＇＇（0）=0,ku（1）=u＇＇＇（1）其中,f：[0,1]×R4→[0,＋∞）连续。利用锥上不动点定理得到了该四阶边值问题正解的存在性及多重性。推广了某些已知的结果。
英文摘要：
In order to develop and improve the theory about existence of positive solutions of fourth order boundary value problem,the following fourth order boundary value problem {u（4）=f（t,u（t）,u′（t）,u″（t）,u＇＇＇（t））,0≤t≤1u′（0）=u″（0）=u＇＇＇（0）=0,ku（1）=u＇＇＇（1） is considered,where f：×R4→[0,＋∞） is continuous.By use of the fixed point theorem in cone,the existence and multiplicity of positive solutions are obtained to the above boundary value problem.The results generalize some recent ones.
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