渐近非线性四阶两点边值问题的一个存在定理

AN EXISTENCE THEOREM OF FOURTH-ORDER TWO-POINT BOUNDARYVALUE PROBLEM WITH ASYMPTOTIC NONLINEARITY

利用拓扑度理论获得了一个渐近非线性四阶两点边值问题的存在定理。

The degree theory is applied to obtain an existence theorem for the fourth-order two-point boundary value problem with asymptotic nonlinearity. This class of problems is used to describe elastic deformation of the beam whose both end-points are fixed.