Periodic solutions for dynamic equations on time scales

DOI10.1016/j.na.2006.07.030zbMath1124.34028OpenAlexW1971283592MaRDI QIDQ885317

Xi-Lan Liu, Wang-Tong Li

Publication date: 8 June 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.07.030

zbMATH Keywords

existenceperiodic solutionsLyapunov functionsbounded solutionsdynamic equations on a time scale

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Discrete version of topics in analysis (39A12)

Related Items (15)

Multiple periodic solutions in shifts \(\delta_{\pm}\) for an impulsive functional dynamic equation on time scales ⋮ Affine‐periodic orbits for linear dynamical systems ⋮ Almost automorphic solutions of dynamic equations on time scales ⋮ EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH DISTRIBUTED LEAKAGE DELAYS ON TIME SCALES ⋮ Multiple periodic solutions of delayed predator-prey systems with type IV functional responses on time scales ⋮ Periodic solutions in shifts \(\delta_\pm\) for a nonlinear dynamic equation on time scales ⋮ Positive periodic solutions in shifts \(\delta_\pm\) for a class of higher-dimensional functional dynamic equations with impulses on time scales ⋮ Existence of periodic solutions for \(p\)-Laplacian equations on time scales ⋮ Massera's theorems for various types of equations with discontinuous solutions ⋮ Periodic solutions for a delayed neural network model on a special time scale ⋮ Green's function for periodic solutions in alternately advanced and delayed differential systems ⋮ Massera’s theorem in quantum calculus ⋮ Positive periodic solutions in shifts \(\gamma_\pm\) for a nonlinear first-order functional dynamic equation on time scales ⋮ Anti-periodic solutions for a class of Cohen–Grossberg neural networks with time-varying delays on time scales ⋮ Asymptotically almost automorphic solutions of dynamic equations on time scales

Cites Work

• A Massera type theorem for almost automorphic solutions of differential equations
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Remarks on one-dimensional delay-differential equations
• Stability and periodic solutions of ordinary and functional differential equations
• Periodic solutions to convex neutral functional-differential equations
• Periodic solutions of neutral difference equations
• Periodic solutions of first order linear difference equations
• A Massera type criterion for linear functional differential equations with advance and delay
• The existence of periodic solutions of systems of differential equations
• Inequalities on Time Scales: A Survey
• Bounded and periodic solutions of finite delay evolution equations
• On periodicity of difference equations of a general type
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