SPECTRAL THEORY OF TWO-POINT ORDINARY DIFFERENTIAL OPERATORS AND IT’S CHARACTERISTIC DETERMINANT AND REGULARITY

Abstract

In this paper we are paper Spectral theory of two-point ordinary differential administrators and it's characteristic determinant and regularity. In this paper we are worried about the theory of straight two-point starting limit esteem issues, the otherworldly theory of direct differential administrators and the associations between the two fields. The limit esteem issues we ponder are postured for straight, steady coefficient, advancement ordinary differential conditions in a single space and one time factor. A standout amongst the most central hypotheses in the phantom theory of two-point ordinary differential administrators is that the eigenvalues are correctly the zeros of the characteristic determinant, a capacity characterized regarding the limit conditions. As the characteristic determinant is an exponential polynomial the theory of the conveyance of the zeros of such capacities is of incredible significance. We will likewise talk about the hypothetical piece of ghastly theory of two-point conventional differential administrator and it's characteristic determinant and regularity.