To the Theory of Regular Boundary Value Problems for Ordinary Linear Differential Operators in the Space Lp, n

The differential operator with boundary conditions of value problems for ordinary linear has been reported. The meaning of this definition is hidden in the analytic nature of the Green matrix, according to which the integral expresses a partial sum of the Fourier expansion of the function in the root elements of problem and the summands in this sum correspond to the root elements with eigenvalues inside. The limit of the integrals in the first term vanishes by Jordan's lemma. Various equations and theorems have also been provided in support of the problem.