THE CAUCHY PROBLEM FOR A LINEAR DIFFERENTIAL EQUATION WITH A SCALAR PRODUCT ON THE RIGHT SIDE
Section: GENERAL SECTION
Authors:
1.
Voronezh State University of Forestry and Technologies
(department of mathematics, senior lecturer)
Voronezh, Russian Federation
Voronezh, Russian Federation
2.
Voronezh State Forestry University named after G.F. Morozov
Type:
Сonference article
Pages:
from 246
to 249
Published:
30.12.2025
Subject area:
UDC 517.9
Language:
Russian
Keywords:
Cauchy problem, differential equation, scalar product, solution
Abstract (English):
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.
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.
Keywords:
Cauchy problem, differential equation, scalar product, solution
Cauchy problem, differential equation, scalar product, solution
1. Funkcional'nyy analiz. – Pod obsch. red. S.G. Kreyna. – M.: Nauka, 1972. – 544 s.
2. Kreyn S.G. Lineynye differencial'nye uravneniya v banahovom prostranstve. – M.: Nauka, 1967. – 464 s. EDN: https://elibrary.ru/SHJAKP
