Investigation of an equation with a deviating argument

Title	Investigation of an equation with a deviating argument
Authors	P. A. Velmisov¹, P. K. Macenko¹, Y. A. Tamarova¹ ¹Ulyanovsk State Technical University
Annotation	The linear differential equation with a deviating argument obtained in the study of a mathematical model of a system for monitoring pressure changes in an engine combustion chamber is considered. Some exact solutions of the equation are indicated, and a numerical solution method based on the Runge-Kutta method is proposed.
Keywords	differential-difference equations, Runge-Kutta method, pressure measurement system, aerohydroelasticity, dynamics.
Citation	Velmisov P. A., Macenko P. K., Tamarova Y. A. ''Investigation of an equation with a deviating argument'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 26-28, 2024). Saransk: SVMO Publ, 2024. - pp. 32-36. Available at: https://conf.svmo.ru/files/2024/papers/paper05.pdf. - Date of access: 16.10.2024.