Triple positive solutions of a boundary value problem for second order three-point differential equations with p-Laplacian operator

摘要

In the paper, we obtain the existence of triple positive solutions for the following second order three-point boundary value problem, {l(f_p(u¢))¢(t)+q(t)f(u(t),u¢(t),(Tu)(t),(Su)(t))=0, 0 £ t £ 1,u¢(0)=bu¢(h), u(1)=g(u¢(1)),left{begin{array}{l}(phi_p(u'))'(t)+q(t)f(u(t),u'(t),(Tu)(t),(Su)(t))=0,quad 0leq tleq1,[4pt]u'(0)=beta u'(eta),qquad u(1)=g(u'(1)),end{array}right.