横梁弯曲方程的边值问题的可解性

On the Solvability of Boundary Value Problems for the Bendin of an Elastic Beam Equation

考虑以下横梁弯曲方程的边值问题“ｘ（４）＝ｆ（ｔ，ｘ，ｘ″），ｘ（０）＝Ａ，ｘ（１）＝Ｂ，ｘ″（０）＝ｘ″（１）＝０”．利用基于度理论的不动点定理。

This paper considers the following boundary value problems for the bendin of an elastic beam equation:“x (4) =f(t,x,x ″),x(0)=A,x(1)=B,x ″(0)=x ″(1)=0”.By using certain fixed point theorem based on the degree theory,some sufficient conditions for existence of solutions of the above proplems are given.