具共振条件下的高阶多点边值问题解的存在性

Existence of Solutions for Higher Order Multi-Point Boundary Value Problems at Resonance

利用重合度理论研究一类高阶常微分方程多点边值问题,在共振条件下,通过给出非线性项满足的一些条件,运用有效的先验界估计,得到了一些新的解的存在性结果.

Using the theory of coincidence degree,a class of higher order multi-point boundary value problem for ordinary differemtial equations are studied. Under the boundary conditions satisfying the resonance case, some new sxistence results are obtained by supposing some conditions to the nonlinear term and applying a priori estimates.