Boundedness and Uniqueness of Solutions to Dynamic Equations on Time Scales

DOI10.1080/10236190410001652793zbMath1072.39017OpenAlexW1981764212MaRDI QIDQ4658740

Allan C. Peterson, Christopher C. Tisdell

Publication date: 18 March 2005

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190410001652793

zbMATH Keywords

uniquenessboundednesstime scalesLyapunov-type functionssystems of dynamical equations

Mathematics Subject Classification ID

Related Items (20)

Existence results for periodic solutions of integro-dynamic equations on time scales ⋮ Stability and instability for dynamic equations on time scales ⋮ A class of linear dynamical equations for a Banach space on time scales ⋮ Qualitative analysis of dynamic equations on time scales using Lyapunov functions ⋮ Analyzing the exponential stability of motion on time scales ⋮ \(\psi\)-exponential stability of nonlinear impulsive dynamic equations on time scales ⋮ The generalized invariance principle for dynamic equations on time scales ⋮ Some qualitative results for functional delay dynamic equations on time scales ⋮ Discontinuous dynamic equations on time scales ⋮ Absolute continuity and existence of solutions to dynamic inclusions in time scales ⋮ Stability of abstract dynamic equations on time scales by Lyapunov's second method ⋮ On qualitative and quantitative results for solutions to first-order dynamic equations on time scales ⋮ Basic qualitative and quantitative results for solutions to nonlinear dynamic equations on time scales with an application to economic modelling ⋮ Boundedness in functional dynamic equations on time scales ⋮ Boundedness of solutions of measure differential equations and dynamic equations on time scales ⋮ Exponential stability in functional dynamic equations on time scales ⋮ Periodic solutions of a nonautonomous Leslie-Gower predator-prey model with non-linear type prey harvesting on time scales ⋮ Generalized first order dynamic equations on time scales with Δ-Carathéodory functions ⋮ On first-order discrete boundary value problems ⋮ Existence results for solutions to discontinuous dynamic equations on time scales

Cites Work

• Chain rule and invariance principle on measure chains

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