Affine-periodic solutions for nonlinear differential equations

DOI10.1216/RMJ-2016-46-5-1717zbMath1370.34067MaRDI QIDQ2374296

Chuanbiao Wang, Xue Yang, Yong Li

Publication date: 15 December 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1481101233

zbMATH Keywords

Lyapunov functiontopological degreeinvariant region principleaffine-periodic system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Symmetries, invariants of ordinary differential equations (34C14) Degree theory for nonlinear operators (47H11)

Related Items (20)

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 ⋮ Unnamed Item ⋮ A generalized Massera theorem based on affine periodicity ⋮ Hartman and Nirenberg type results for systems of delay differential equations under \((\omega, Q)\)-periodic conditions ⋮ Existence of affine-periodic solutions to Newton affine-periodic systems ⋮ Affine‐periodic orbits for linear dynamical systems ⋮ Affine-periodic solutions for generalized ODEs and other equations ⋮ AFFINE-PERIODIC SOLUTIONS FOR DISCRETE DYNAMICAL SYSTEMS ⋮ EXISTENCE OF DISSIPATIVE-AFFINE-PERIODIC SOLUTIONS FOR DISSIPATIVE-AFFINE-PERIODIC SYSTEMS ⋮ The well-posedness of fractional systems with affine-periodic boundary conditions ⋮ Unnamed Item ⋮ Affine-periodic solutions by averaging methods ⋮ On the affine-periodic solutions of discrete dynamical systems ⋮ Affine-periodic solutions for impulsive differential systems ⋮ Rotating periodic solutions in complete degeneracy ⋮ LaSalle stationary oscillation theorem for affine periodic dynamic systems on time scales ⋮ LaSalle type stationary oscillation theorems for affine-periodic systems

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