一维广义P-Laplacian奇异非线性边值问题

Singular nonlinear boundary value problem for the one dimensional P-Laplacian

研究了奇异非线性两点边值问题g′(u′(t) ) =-k(t) [u(t) ]-αu(0 ) =0 ,u(1) =λu′(1)正解的性质及存在性 .这里λ >1是实数 ,g(s)是在 [0 ,1)区间上连续可微的 ,严格单调递增的 。

In this paper the singular boundary value problemg′(u′(t))=-k(t)[u(t)]\+\{-α\} u(0)=0, u(1)=λu′(1)is studied, The exisence of the positive solution are obtained by neans of the shooting method.