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-  2015 


DOI: 10.6054/j.jscnun.2015.00.000

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Abstract:

运用Avery-Peterson不动点定理, 研究了三阶三点边值问题 $$\left\{\begin{aligned} &u'''(t)+ \lambda q(t)f(t,u)=0,\quad t\in (0,1),\\ &u(0)=\alpha u'(0), u(1)=\beta u(\eta),u'(1)=0 \end{aligned} \right. \eqno $$ 3个正解存在的充分条件,其中$f[0,1]\times[0,+\infty )\rightarrow[0,+\infty)$~连续,~$\lambda>0$~为参数,~$0<\eta<1,\alpha,\beta\in R$~且~$\alpha,\beta>0$.

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