高阶差分方程Lidstone BVP的特征值问题

Eigenvalue of Discrete Lidstone Boundary Value Problems

应用锥上的不动点定理和锥理论,我们在对非线性项的不同假设下分别得到了一类2m阶离散Lidstone BVP特征值的存在区间．

By applying some fixed point theorems and cone theory, we, respectively, obtain some sufficient and necessary conditions for the bounded and unbounded existence intervals of eigenvalues for certain 2m^th discrete Lidstone boundary value problem under different assumptions on the nonlinear term.