On one approach to definition of singular differential operators

TL;DR

This paper introduces a new framework for defining boundary problems for ordinary differential equations with singular coefficients using triples of Banach spaces, expanding the mathematical tools available for such problems.

Contribution

It proposes a novel approach to boundary problems for differential equations with singular coefficients based on triples of Banach spaces, broadening existing methods.

Findings

Defines a large class of boundary problems for singular ODEs

Uses triples of Banach spaces to formulate problems

Provides a new mathematical framework for singular differential operators

Abstract

In terms of triples of Banach spaces, we define a large class of boundary problems for ordinary differential equations (of arbitrary order) with singular coefficients.