Existence, uniqueness and conditional stability of periodic solutions to evolution equations

DOI10.1016/j.jmaa.2015.07.059zbMath1339.34068OpenAlexW967421011MaRDI QIDQ499198

Ngo Quy Dang, Nguyen Thieu Huy

Publication date: 30 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.07.059

zbMATH Keywords

periodic solutionsconditional stabilityexponential dichotomyevolution equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear differential equations in abstract spaces (34G20) Stability of solutions to ordinary differential equations (34D20) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (12)

Dichotomy and periodic solutions to partial functional differential equations ⋮ Admissible, bounded and periodic solutions of semilinear evolution equations on the line ⋮ Periodic solutions to history-dependent differential hemivariational inequalities with applications ⋮ Stability and constructions of the Poincaré maps for a class of stochastic partial differential equations ⋮ Unnamed Item ⋮ Periodicity and stability of solutions to neutral differential equations with $\varphi $-Lipschitz and infinite delays ⋮ Periodic solutions to partial neutral functional differential equations in admissible spaces on a half-line ⋮ Existence of periodic solutions in abstract semilinear equations and applications to biological models ⋮ Solutions to partial functional differential equations with infinite delays: periodicity and admissibility ⋮ Periodic solutions and their conditional stability for partial neutral functional differential equations ⋮ A criterion for the existence of the unique periodic solution of one-dimensional periodic differential equation ⋮ Robustness for linear evolution equations with non-instantaneous impulsive effects

Cites Work

• Periodic motions of Stokes and Navier-Stokes flows around a rotating obstacle
• A note on the existence of periodic solutions of the Navier-Stokes equations
• A note on theorem of Massera
• Semigroups of linear operators and applications to partial differential equations
• Stability and periodic solutions of ordinary and functional differential equations
• Stability theory and the existence of periodic solutions and almost periodic solutions
• Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
• Exponential dichotomy of evolution equations and admissibility of function spaces on a half-line
• The existence of periodic solutions of systems of differential equations
• Periodic solutions of semilinear evolution equations
• One-Parameter Semigroups for Linear Evolution Equations
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