共振条件下一类四阶多点边值问题解的存在性

The Solvability to A Class of Fourth Order Multi-point Boundary Value Problem at Resonance

主要利用重合度理论对于上述四阶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,建立解的存在性结果.

In this paper, we will consider the nonlinear fourth order multi-point boundary value problem： （ 1.1 ）, （ 1.2 ） （ 1.3 ） Where is a continuous function, they are real numbers and have not the same sign. Using the theory of coincidence degree, a class of 4 order multi-point boundary value problem for ordinary differential equations are studied. Under the boundary conditions satisfying the resonance case. Some existence results are established by supposing some conditions to the nonlinear term and applying a priori estimates.