【摘要】 讨论四阶常微分方程边值问题u(4)(t)=f(t,u,u′,u″),t∈[0,1]u(0)=u′(1)=u″(0)=u″′(1)=0解的存在性,其中f(t,u,v,w):[0,1]×R×R×R→R为连续函数,通过上下解的单调迭代方法获得了解的存在性结果.更多还原

【Abstract】 The existence of solutions is studied for the fourth|order boundary value problem u+{(4)}(t)=f(t,u,u′,u″),t∈u(0)=u′(1)=u″(0)=u″′(1)=0where f:×R×R×R→R is a continuous function. The existence results of the soulution are obtained by using the monotone iterative method of lower and upper solutions.更多还原