【摘要】 本文利用锥上的不动点定理,在非线性项f半正的情形下研究了一类非线性二阶半正特征值问题Lu+λf(t,u)=0,αu(0)-βu′(0)=0,γu(1)+δu′(1)==0,在非线性项f满足更广的超(次)线性的情形下得到了特征值问题的正解,推广改进和统一了一些已知的结果.更多还原

【Abstract】 In this paper,by using the fixed point theorems in cones the existence of positive solutions for the second-order semipositone eigenvalue problems Lu +λf(t,u)= 0,αu(0)-βu’(0) = 0,γu(1) +δu’(1) = 0 is obtained under the condition that f is super-linear(sublinear). The results obtained in this paper essentially improve,generalize many well-known results.更多还原