Affine-periodic solutions by averaging methods

DOI10.1007/s11425-016-0455-1zbMath1459.34108OpenAlexW2624165721MaRDI QIDQ1741986

Xue Yang, Jiamin Xing, Yong Li

Publication date: 11 April 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-016-0455-1

zbMATH Keywords

topological degreeaveraging methodaffine-periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Averaging method for ordinary differential equations (34C29)

Related Items (10)

LaSalle-type stationary oscillation principle for stochastic affine periodic systems ⋮ The existence of affine-periodic solutions for nonlinear impulsive differential equations ⋮ Affine-periodic solutions by asymptotic and homotopy equivalence ⋮ Fink type conjecture on affine-periodic solutions and Levinson's conjecture to Newtonian systems ⋮ Affine-periodic solutions by asymptotic method ⋮ Lyapunov center theorem on rotating periodic orbits for Hamiltonian systems ⋮ Affine‐periodic orbits for linear dynamical systems ⋮ Affine-periodic solutions for higher order differential equations ⋮ Poisson stable motions of monotone nonautonomous dynamical systems ⋮ LaSalle stationary oscillation theorem for affine periodic dynamic systems on time scales

Cites Work

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