通过锥上的不动点定理,证明了一类含有两个参数的四阶微分方程两点边值问题{u (4)(t)+βu″(t)-αu (t)= f(t,u(t),u″(t)),0〈 t 〈1 u(0)= u(1)= u″(0)= u″(1)=0正解的存在性。
By using the fixed-point theorem in cone, the fourth-order boundary value problem with two parameters {u (4)(t)+βu″(t)-αu (t)= f(t,u(t),u″(t)),0〈 t 〈1 u(0)= u(1)= u″(0)= u″(1)=0is discussed, and some new results of existence about positive solutions are obtained.