A criteria for correct solvability in L_p(R) of a general Sturm-Liouville equation

TL;DR

This paper establishes criteria to determine when a general Sturm-Liouville equation is correctly solvable within the L_p(R) space, providing a theoretical foundation for analyzing such differential equations.

Contribution

It introduces new criteria for correct solvability of Sturm-Liouville equations in L_p(R), expanding the theoretical understanding of these equations.

Findings

Criteria for correct solvability in L_p(R) are established.

The results apply to a broad class of Sturm-Liouville equations.

The paper advances the theoretical framework for differential equations in functional spaces.

Abstract

We give criteria for correct solvability in L_p(R) of a general Sturm-Liouville equation