On the solvability of a periodic problem for a system of ordinary differential equations with the main positive homogeneous nonlinearity

DOI10.1134/S0012266123020131zbMath1526.34028OpenAlexW4376481115MaRDI QIDQ6168938

E. M. Mukhamadiev, A. N. Naimov

Publication date: 11 July 2023

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266123020131

zbMATH Keywords

periodic solutionsdegree theoryperiodic perturbationspositively homogeneous functionsolvability of periodic problem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Degree theory for nonlinear operators (47H11) Nonautonomous smooth dynamical systems (37C60)

Cites Work

• Unnamed Item
• Method of guiding functions for existence problems for periodic solutions of differential equations
• On a problem posed by Vladimir Ivanovich Zubov
• On a priori estimate and existence of periodic solutions for a class of systems of nonlinear ordinary differential equations

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