Perturbations of Dynamic Equations
We give conditions on the coefficient matrix for certain perturbed linear dynamic equations on time scales ensuring that there exists a bounded solution (which is explicitly given) to which all other solutions converge, and similarly conditions ensuring a bounded solution from which all other solutions diverge. We also consider periodic time scales and corresponding linear dynamic equations with periodic coefficients and prove similar statements about periodic solutions to which all other solutions converge or from which all other solutions diverge.
M. Bohner and R. Hering, "Perturbations of Dynamic Equations," Journal of Difference Equations and Applications, Taylor & Francis, Jan 2002.
The definitive version is available at https://doi.org/10.1080/1026190290017360
Mathematics and Statistics
Keywords and Phrases
time scales; perturbed Dynamic equations; periodic dynamic equations
Article - Journal
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