A PRIORI ESTIMATES AND SOLVABILITY OF A NON-RESONANT GENERALIZED MULTI-POINT BOUNDARY VALUE PROBLEM OF MIXED DIRICHLET-NEUMANN-DIRICHLET TYPE INVOLVING A p-LAPLACIAN TYPE OPERATOR

摘要

This paper is devoted to the problem of existence of a solution for a nonresonant, non-linear generalized multi-point boundary value problem on the interval [0,1]. The existence of a solution is obtained using topological degree and some a priori estimates for functions satisfying the boundary conditions specified in the problem.