半无穷区间二阶微分方程边值问题的多个正解的存在性

Existence of multiple positive solutions for boundary value problems on the half-line

用不动点定理,研究半无穷区间边值问题u″+a(t)f(u)+b(t)g(u)=0,0<t<∞,u(0)=∞,u′(∞)=0的多个正解的存在性.

This paper studies a class of second-order boundary value problems on the half-line as following u″＋a（t）f（u）＋b（t）g（u）=0,0〈t〈∞,u（0）=∞,u′（∞）=0 By using the Leggett-Williams fixed point theorem,we establish the existence of multiple positive solutions.