Generalized Integrals and Solvability

TL;DR

This paper introduces a framework linking a Lagrange equation with generalized integrals and differential equations to facilitate their evaluation and interrelation.

Contribution

It constructs a new equation connecting Lagrange equations with generalized integrals and differential equations, offering novel insights into their relationships.

Findings

Established a new connection between Lagrange equations and generalized integrals.

Provided methods for evaluating and relating differential equations within this framework.

Enhanced understanding of the structure of generalized integrals and their solvability.

Abstract

Based on previous work we consturct an equation (Lagrange equation) and relate it with a system of generalized integrals and differential equations in such a way to provide useful evaluations and connections between them.