Investigation of periodic solutions of a system of ordinary differential equations with quasi-homogeneous non-linearity

DOI10.20310/2686-9667-2024-29-147-309-324MaRDI QIDQ6645012

M. V. Bystretsky, A. N. Naimov

Publication date: 28 November 2024

Published in: Vestnik Rossiĭskikh Universitetov. Matematika (Search for Journal in Brave)

zbMATH Keywords

periodic solutiona priori estimatemapping degree of vector fieldinvariance of existence of periodic solutionsquasi-homogeneous non-linearity

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Degree theory for nonlinear operators (47H11) Degree, winding number (55M25)

Cites Work

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• Method of guiding functions for existence problems for periodic solutions of differential equations
• On a problem posed by Vladimir Ivanovich Zubov
• Solvability of a class of periodic problems on the plane
• On the solvability of a periodic problem for a system of ordinary differential equations with the main positive homogeneous nonlinearity

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