LINEAR TRANSFORMATIONS AND FLOQUET THEOREM FOR LINEAR IMPLICIT DYNAMIC EQUATIONS ON TIME SCALES

DOI10.1142/S1793557113500046zbMath1284.34131OpenAlexW2037319237MaRDI QIDQ4928341

Nguyen Chi Liem, Nguyen Huu Du

Publication date: 11 June 2013

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557113500046

zbMATH Keywords

time scalesdifferential-algebraic equationimplicit dynamic equationslinear dynamic equationsLyapunov theoremFloquet theorem

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Implicit ordinary differential equations, differential-algebraic equations (34A09) Dynamic equations on time scales or measure chains (34N05)

Related Items (1)

On stability, Bohl exponent and Bohl–Perron theorem for implicit dynamic equations

Cites Work

• Unnamed Item
• A unified Floquet theory for discrete, continuous, and hybrid periodic linear systems
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Exponential dichotomies of linear dynamic equations on measure chains under slowly varying coefficients.
• Floquet theorem for linear implicit nonautonomous difference systems

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