Qualitative analysis of dynamic equations on time scales using Lyapunov functions

DOI10.7153/DEA-2022-14-14zbMath1499.34420OpenAlexW4285203557WikidataQ115157887 ScholiaQ115157887MaRDI QIDQ5078848

Eleonora Messina, Antonia Vecchio, Youssef N. Raffoul

Publication date: 25 May 2022

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2022-14-14

zbMATH Keywords

stabilitydelayboundednesstime scalesLyapunov functionsdynamic equations\(\Delta\)-derivative

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Dynamic equations on time scales or measure chains (34N05) Functional-differential equations on time scales or measure chains (34K42)

Related Items (1)

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability analysis of linear Volterra equations on time scales under bounded perturbations
• Existence results for periodic solutions of integro-dynamic equations on time scales
• Stability and periodicity in discrete delay equations
• Stability and periodicity in dynamic delay equations
• Periodicity and stability of linear Volterra difference systems
• Chain rule and invariance principle on measure chains
• General theorems for stability and boundedness for nonlinear functional discrete systems
• Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales
• Qualitative Theory of Volterra Difference Equations
• Periodicity in General Delay Non-linear Difference Equations Using Fixed Point Theory
• Boundedness and Uniqueness of Solutions to Dynamic Equations on Time Scales
• Integral equations, implicit functions, and fixed points

This page was built for publication: Qualitative analysis of dynamic equations on time scales using Lyapunov functions