Levinson’s Problem on Affine-Periodic Solutions

DOI10.1515/ans-2015-0113zbMath1351.34047OpenAlexW2511839668MaRDI QIDQ5178525

Fushan Huang, Yong Li

Publication date: 16 March 2015

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2015-0113

zbMATH Keywords

degree theoryaffine-periodic solutionsaffine dissipative repulsive systemsLevinson's problem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Degree theory for nonlinear operators (47H11) Periodic solutions to functional-differential equations (34K13)

Related Items (19)

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 ⋮ Affine-periodic solutions by asymptotic method ⋮ A generalized Massera theorem based on affine periodicity ⋮ Existence of affine-periodic solutions to Newton affine-periodic systems ⋮ Affine‐periodic orbits for linear dynamical systems ⋮ AFFINE-PERIODIC SOLUTIONS AND PSEUDO AFFINE-PERIODIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS WITH EXPONENTIAL DICHOTOMY AND EXPONENTIAL TRICHOTOMY ⋮ EXISTENCE OF DISSIPATIVE-AFFINE-PERIODIC SOLUTIONS FOR DISSIPATIVE-AFFINE-PERIODIC SYSTEMS ⋮ The well-posedness of fractional systems with affine-periodic boundary conditions ⋮ Affine-periodic solutions by averaging methods ⋮ Affine-periodic solutions for higher order differential equations ⋮ On the affine-periodic solutions of discrete dynamical systems ⋮ Affine-periodic solutions for nonlinear dynamic equations on time scales ⋮ Affine-periodic solutions for impulsive differential systems ⋮ Rotating periodic patterns in reaction diffusion systems ⋮ LaSalle type stationary oscillation theorems for affine-periodic systems

Cites Work

• Unified boundedness, periodicity, and stability in ordinary and functional differential equations
• Periodic solutions of dissipative functional differential equations
• Optimal computation of shortest paths on doubly convex bipartite graphs
• The existence of periodic solutions of systems of differential equations
• Transformation theory of non-linear differential equations of the second order
• Periodic solutions and equilibrium states for functional-differential inclusions with nonconvex right-hand side
• A Composite Coincidence Degree with Applications to Boundary Value Problems of Neutral Equations

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