THE CAUCHY PROBLEM FOR A LINEAR DIFFERENTIAL EQUATION WITH A SCALAR PRODUCT ON THE RIGHT SIDE
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.
Fields of Study & Subjects
Differential Equations and Boundary Problems
Nonlinear Differential Equations Analysis
Stability and Controllability of Differential Equations
Publication details
- Pages
- 246–249
- Publication date
- 20 January 2026