【摘要】 研究了一类四阶奇异边值问题u⁴（t）=a（t）f（t,u（t）,u″（t））+b（t）g（t,u（t）,u″（t））,0<t<1,u（0）=u（1）=0,αu″（0）-βu″′（0）=0,γu″（1）+δu″′（1）=0正解的存在性,在f和g满足比超线性和次线性条件更广泛的极限条件下,利用锥压缩和拉伸不动点定理获得了正解的存在性结果,推广和包含了一些已知结果.更多还原

【Abstract】 This paper is concerned with the existence of positive solutions for a class of fourth order singular boundary value problems: u⁴（t）=a（t）f（t,u（t）,u″（t））+b（t）g（t,u（t）,u″（t））,0<t<1, u（0）=u（1）=0, au″（0）-βu″（0）=0,γu″（1）+δu″′（1）=0. The existence of positive solutions is obtained by employing the fixed-point theorem of cone expansion and compression type under the condition that f and g satisfy the limit condition which is more extensive than the existing superlinear and sublinear condition.The obtained results generalize and include some known results.更多还原