关于Gelfand模型的特征值

On the Eigenvalues of Gelfand Models

基于非线性紧算子的锥不动点定理，研究了广义的Ｇｅｌｆａｎｄ模型ｘ＂＋λｑ（ｔ）ｆ（ｘ）＝０（０＜ｔ＜１），ｘ（０）＝ｘ（１）＝０．在不假定ｆ单调的情况下。

By means of cone fixed point theorems for the compact nonlinear operator, the generalized Gelfand models x'+λq(t)f(x)=0 (0<t<1), x(0)=x(1)=0 are studied. Without assuming monotonicity for f(x) , the sufficient conditions for the existence of positive solutions to the above models have been obtained.