Exponential stability in functional dynamic equations on time scales

zbMath1194.34173MaRDI QIDQ969229

Youssef N. Raffoul, Christopher C. Tisdell, Elvan Akin-Bohner

Publication date: 12 May 2010

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1271890721

zbMATH Keywords

time scales

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Dynamic equations on time scales or measure chains (34N05)

Related Items (7)

Asymptotic stability of the complex dynamic equation \(u^\Delta-z\cdot u+w\cdot u^\sigma=0\) ⋮ A test for global attractivity of linear dynamic equations with delay ⋮ Absolute continuity and existence of solutions to dynamic inclusions in time scales ⋮ Halanay type inequalities on time scales with applications ⋮ Uniform exponential stability of first-order dynamic equations with several delays ⋮ A survey of recent results for the generalizations of ordinary differential equations ⋮ Sharp estimation for the solutions of delay differential and Halanay type inequalities

Cites Work

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• Chain rule and invariance principle on measure chains
• Boundedness in functional dynamic equations on time scales
• Exponential stability of dynamic equations on time scales
• Boundedness in nonlinear functional differential equations with applications to Volterra integrodifferential equations
• Existence of periodic solutions in totally nonlinear delay dynamic equations
• Boundedness and Uniqueness of Solutions to Dynamic Equations on Time Scales

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