【摘要】 利用锥不动点指数研究了三阶非线性特征值问题u+ρ3u=λg(t)f(u),0<t<2π,u(i)(0)=u(i)(2π),i=0,1,2在适当条件下解的存在性.其中常数ρ∈0,13,参数λ>0.更多还原

【Abstract】 The authors consider the nonlinear third order differential equationsu+ρ³u=λg（t）f（u）,\ 0<t<2π（B）with the periodic boundary conditionsu^（i）（0）=u^（i）（2π）,\ i=0,1,2（E）Where ρ∈0,13 is a constant,λ>0 is a parameter.Two results on the existence of non-negative solutions to problem（B）-（E） are obtained.And the proof uses the fixed point ndex in the cone theory.更多还原