Investigation of solvability condition for sixth-order boundary value problem

Abstract EN

This paper is concerned with the solvability condition for nonhomogeneous linear boundary value problem for sixth-order ordinary differential equation.

Throughout this study, we observed that, when the homogenous problem have nontrivial solution, then the nonhomogeneous boundary value problem have a solution in case of nonhomogeneous term that satisfied the solvability condition.

We justified our results through the given example.