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The Cauchy Problem for a Linear Differential Equation With a Scalar Product on the Right Side

Year: 2026

Type: conference-paper

Abstract: The Cauchy problem for an inhomogeneous first-order differential equation with a functional is a scalar product of the desired function on the right side. The result about the existence and uniqueness of the solution is obtained; this solution is found in an analytical form.

Source: Operator Equations and Some Related Issues in Applied Mathematics International Open Conference

DOI: 10.58168/opeq2025_246-249

Authors: Vladimir Uskov, O. Chekanina

Institution: Voronezh State University of Forestry and Technologies

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W7124914616

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