On the existence of periodic solutions to one class of systems of nonlinear differential equations

DOI10.1134/S1995080222020044zbMath1496.34076OpenAlexW4226083536WikidataQ115247344 ScholiaQ115247344MaRDI QIDQ2121919

Gennadii V. Demidenko

Publication date: 5 April 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222020044

zbMATH Keywords

Sobolev spacesperiodic solutionsLyapunov equationnonlinear differential equationsexponential dichotomy

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Nonautonomous smooth dynamical systems (37C60)

Related Items (1)

Reduction of a linear \(D_e\)-system to a canonical form in the case of equivalence to a \(D_e\)-system of higher order linear equations

Cites Work

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• On a functional approach to constructing projections onto invariant subspaces of matrices
• Systems of differential equations with periodic coefficients

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