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INFINITELY MANY POSITIVE SOLUTIONS OF A NONLINEAR THREE-POINT BOUNDARY VALUE PROBLEM

Jian-Ping Sun, Fu-Chun Xi

Abstract


In this paper, existence criteria for infinitely many positive solutions ofthe nonlinear three-point boundary value problem\[\left\{\begin{array}{l}u^{\prime \prime }(t)+a(t)u^{\prime }(t)+b(t)u(t)+h(t)f(u)=0,\quad t\in (0,1)\,, \\[12pt]u(0)=0,\quad u(1)=\alpha u(\eta )\end{array}\right.\]are established by using the Krasnosel'skii's Fixed Point Theorem for operators on cone.

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