摘要
运用Leray-Schauder原理研究非线性四阶常微分方程两点边值问题{y(4)(t)=f(t,y,y′,y,″y″′),t∈(0,1);y(0)=y(1)=y″(0)=y″(1)=0.的可解性.其中f∶[0,1]热×R4热→R连续.
In this paper, I.eray-schauder theorem is used to study the existence of solutions to the following fourth-order ordinary differential equation boundary value problem
{y^（4）（t）=f（t,y,y′,y,″y″′）,t∈（0,1）;
y（0）=y（1）=y″（0）=y″（1）=0.
where f∶[0,1]×R^4→Ris continuous. It is proved that the problem having at least one solution as nonlin earity satisfies certain sign conditions.
出处
《兰州交通大学学报》
CAS
2008年第6期154-156,共3页
Journal of Lanzhou Jiaotong University
