Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem Original Research Article

We study the existence of positive solutions of the nonlinear boundary value problem View the MathML sourceu(4)(t)=f(t,u(t),u″(t)),t∈(0,1), Turn MathJax on u(0)=u(1)=u″(0)=u″(1)=0,u(0)=u(1)=u″(0)=u″(1)=0, Turn MathJax on which is not necessarily linearizable. Our approaches are based on Krein–Rutman theorem, topological degree theory and global bifurcation techniques.