【摘要】：應(yīng)用Leggett-Williams不動(dòng)點(diǎn)定理研究了四階三點(diǎn)邊值問題u~((4))(t)=f(t,u(t))(t∈[0,1]),u'(0)=u″(η)=u’’’(0)=u(1)=0多個(gè)正解的存在性,其中f:[0,1]×[0,+∞)→[0,+∞)連續(xù),η∈[3~(1/2)/3,1]為常數(shù).盡管Green函數(shù)是變號(hào)的,對(duì)任意的正整數(shù)m,該問題仍有正解且至少有2m-1個(gè)正解.
[Abstract]:Using Leggett-Williams fixed point theorem, we study the fourth order three point boundary value problem u ~ (4) (t) = f (t, u (t) (t 鈭，

本文編號(hào)：2454648