On a priori estimate and existence of periodic solutions for a class of systems of nonlinear ordinary differential equations

DOI10.3103/S1066369X22040041OpenAlexW4312739738MaRDI QIDQ2112352

A. N. Naimov, E. M. Mukhamadiev

Publication date: 10 January 2023

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x22040041

zbMATH Keywords

a priori estimateperiodic problempositively homogeneous functionrotation of vector fieldmethod of guiding functionssolvability of periodic problem

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Qualitative theory for ordinary differential equations (34Cxx) Manifolds and cell complexes (57-XX)

Related Items (3)

To the calculation of the mapping degree of finite dimensional vector field ⋮ On bounded trajectories of an autonomous system with an isolated positively homogeneous nonlinearity ⋮ On the solvability of a periodic problem for a system of ordinary differential equations with the main positive homogeneous nonlinearity

Cites Work

• Method of guiding functions in problems of nonlinear analysis
• Method of guiding functions for existence problems for periodic solutions of differential equations
• On a problem posed by Vladimir Ivanovich Zubov
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On a priori estimate and existence of periodic solutions for a class of systems of nonlinear ordinary differential equations