一类四阶奇异非局部问题的三个正解

Triple positive solutions for a singular fourth-order nonlocal problem

应用Leggett-Williams不动点定理研究一类四阶奇异非局部问题(p(t)x'''(t))'=ω(t)f(t,x(t))0<t<1,1x(0)=x(1)=∫01g(s)x(s)ds1ax″(0)-b lim p(t)x'''(0)=t→0+∫h(s)x″(s)ds1ax″(1)+b lim p(t)x'''(1)=t→0+∫h(s)x″(s)ds三个正解的存在性。

Using the Leggett-Williams fixed point theorem, the existence of three positive solutions is considered for the following nonlocal problem： （p（t）x＇＇＇（t））＇=ω（t）f（t,x（t））0.