奇异半正边值问题正解的存在性

Twin Positive Solutions for a Singular Semipositone Boundary Value Problem

利用不动点指数定理,该文考虑了如下的三阶三点奇异半正边值问题多个正解的存在性.这里的非线性项f(t,x)可能在t=0,t=1和x=0处有奇性,并且可能在某些t和x处为负.

By using the fixed point index theory,the authors investigate the existence of multiple positive solutions for third-order three-point singular semipositone BVP {x′″（t）-f（t,x）=0,t∈（0,1）; x（0）=x′（η）=x″（1）=0,1/2〈η〈1 The nonlinear term f（t,x）may be singular at t=0,t=1,and x=0,also may be negative for some values of t and x.