Stability of abstract dynamic equations on time scales by Lyapunov's second method

DOI10.3906/mat-1703-65zbMath1424.34322OpenAlexW2800891237MaRDI QIDQ4634201

Karima M. Oraby, Alaa E. Hamza

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1703-65

zbMATH Keywords

time scalesLyapunov stability theorydynamic equations

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Stability of solutions to ordinary differential equations (34D20) Applications of operator theory to differential and integral equations (47N20) Dynamic equations on time scales or measure chains (34N05)

Related Items (7)

Qualitative and quantitative analysis of nonlinear dynamics by the complete discrimination system for polynomial method ⋮ Stability of abstract dynamic equations on time scales ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A converse theorem on practical \(h\)-stability of nonlinear systems ⋮ Sufficient conditions for uniform exponential stability and \(h\)-stability of some classes of dynamic equations on arbitrary time scales ⋮ Time scale state feedback h-stabilisation of linear systems under Lipschitz-type disturbances

Cites Work

• Stability of abstract dynamic equations on time scales
• \(\psi\)-exponential stability of nonlinear impulsive dynamic equations on time scales
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• Stability for time varying linear dynamic systems on time scales
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• Lyapunov functions for linear nonautonomous dynamical equations on time scales
• On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities
• Boundedness and Uniqueness of Solutions to Dynamic Equations on Time Scales
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