Article

Received 28.02.2022

Revised 15.07.2022

Accepted 22.08.2022

Retrieved from Vol. 26, No. 3, 2022

Pages 75 -81

Vyshenska, О., Bilobrytska, О., & Meish, Yu. (2022). Linear extensions of differential equations with impulse influence. The National Transport University Bulletin, 26(3), 75-81. https://doi.org/10.33744/2308-6645-2022-3-53-075-081

Linear extensions of differential equations with impulse influence

О. Vyshenska О. Bilobrytska Yu. Meish

The issue of the existence of an integral set of one class of systems of differential equations undergoing impulse perturbation is investigated. The need to study such systems is due to many applied problems, for example, nonlinear mechanics. They can serve as a mathematical model of evolutionary processes with short-term disturbances. The obtained results can be used in the study of complex oscillatory phenomena in systems subject to impulse disturbances.

differential equations; impulsive action; asymptotic stability; integral surface
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https://doi.org/10.33744/2308-6645-2022-3-53-075-081