About Analytical Approximate Solutions of the Van der Pol Equation in the Complex Domain
Artykuł naukowy w czasopiśmie recenzowanyCzasopismo: Fractal and Fractional Współautorzy: Victor Orlov
Rok wydania: 2023
Tom: 7
Numer czasopisma: 3
Strony od-do: 228
Streszczenie: In the article, the existence of solutions for the Van der Pol differential equation is proved, and the approximate structure of such solutions in the analyticity domain is obtained. In the proof, the majorant method was applied not to the right side of the differential equation, as per usual, but to the solution to the nonlinear differential equation under consideration. Results of the numerical study are presented.
Słowa kluczowe: nonlinear differential equation of the second order; movable singular point; analytical approximate solution; analyticity domain
DOI: doi.org/10.3390/fractalfract7030228
Cytowanie w formacie Bibtex:
@article{1,
author = "Aliaksandr Chychuryn and Victor Orlov",
title = "About Analytical Approximate Solutions of the Van der Pol Equation in the Complex Domain",
journal = "Fractal and Fractional",
year = "2023",
number = "3",
pages = "228"
}
Cytowanie w formacie APA:
Chychuryn, A. and Victor Orlov(2023). About Analytical Approximate Solutions of the Van der Pol Equation in the Complex Domain. Fractal and Fractional, 3, 228.