Floquet theory based on new periodicity concept for hybrid systems involving \(q\)-difference equations

DOI10.1016/j.amc.2015.08.124zbMath1410.34120arXiv1305.7110OpenAlexW2164141041MaRDI QIDQ668596

Halis Can Koyuncuoğlu, Murat Adivar

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.7110

zbMATH Keywords

stabilityperiodicityhybrid systemshift operatorsFloquetLyapunov

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Difference equations, scaling ((q)-differences) (39A13) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Dynamic equations on time scales or measure chains (34N05)

Related Items

Periodicity on isolated time scales ⋮ Positive periodic solutions for certain kinds of delayed \(q\)-difference equations with biological background ⋮ Almost automorphic functions on the quantum time scale and applications ⋮ Floquet theory for quaternion-valued differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A unified Floquet theory for discrete, continuous, and hybrid periodic linear systems
• Halanay type inequalities on time scales with applications
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Floquet theory for integral and integro-differential equations
• Generalization of the Floquet theory
• A spectral characterization of exponential stability for linear time-invariant systems on time scales
• Floquet theory and stability of nonlinear integro-differential equations
• Periodic solutions for a neutral nonlinear dynamical equation on a time scale
• The approximation by \(q\)-Bernstein polynomials in the case \(q \downarrow 1\)
• Second order \(q\)-difference equations solvable by factorization method
• Floquet theory for q-difference equations
• Transition matrix and generalized matrix exponential via the Peano-Baker series
• Darboux transformations for q-discretizations of 2D second order differential equations
• p-adic confluence of q-difference equations
• Function bounds for solutions of Volterra integro dynamic equations on time scales
• EXISTENCE OF RESOLVENT FOR VOLTERRA INTEGRAL EQUATIONS ON TIME SCALES
• Floquet Theory for a Volterra Equation
• Floquet Theory for Time Scales and Putzer Representations of Matrix Logarithms
• A new periodicity concept for time scales