一类具p-Laplacian算子方程三个拟对称正解的存在性

Existence of Three Pseudo-symmetric Positive Solutions to a Type of Boundary Value Problem with p-Laplacian Operator

研究边值问题(φp(u′))′+q(t)f(t,u,u′)=0,0<t<1,u(0)-βu′(ξ)=0,u(ξ)=u(1),拟对称正解的存在性,得到了拟对称正解存在的充分条件.

We consider the following boundary value problem {（Фp（u′））′＋q（t）f（t,u,u′）=0,0〈t〈1, u（0）-βu′（ξ）=0, u（ξ）=u（1）, By using a fixed theorem, sufficient conditions are obtained.