【摘要】 研究了一类梁方程奇异边值问题一个正解或多个正解的存在性,利用锥上的不动点定理和新的技巧给出了C2[0,1]和C3[0,1]正解存在的充分条件.其中,非线性项f(t,x,y)可以在x=0,y=0,t=0和t=1处奇异.更多还原

【Abstract】 This paper investigates the existence of one or more positive solutions of singular boundary value problems for a bending of an elastic beam equation. Sufficient conditions for the existence of one or more C~2[0,1] positive solutions as well as one or more C~3[0,1] positive solutions are given by means of a new technique which is based on the fixed point theorems on cones. Our nonlinearity f(t,x,y) may be singular at x=0,y=0, t=0 and /or t=1.更多还原