EXISTENCE THEOREMS OF POSITIVE SOLUTIONS FOR A FOURTH-ORDER THREE-POINT BOUNDARY VALUE PROBLEM
EXISTENCE THEOREMS OF POSITIVE SOLUTIONS FOR A FOURTH-ORDER THREE-POINT BOUNDARY VALUE PROBLEM
In this paper, the following fourth-order three-point boundary value problem with $p$-Laplacian operator is studied: $$ \left\{ \begin{array}{ll} (\phi_p(u''(t)))'' = a(t) f(u(t)), \quad t \in (0,1), \\ u(0) = \xi u(1), \; u'(1) = \eta u'(0), \\ u''(0) = \alpha_1 u''(\delta), \; u''(1) = \beta_1 u''(\delta), \end{array} \right. $$ where …