Geodesic
Exponential dichotomy for systems of difference equations under perturbation of coefficients
Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 4, pp. 561-572

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The problem of exponential dichotomy for systems of difference equations with periodic coefficients is considered. Based on the previously obtained exponential dichotomy criterion, the question of permissible perturbations on the coefficient matrix, under which the exponential dichotomy persists, is investigated.
Keywords: system of difference equations with periodic coefficients, system of discrete Lyapunov equations, exponential dichotomy criterion, perturbation of coefficients. 
@article{CHFMJ_2024_9_4_a2,
     author = {G. V. Demidenko and A. A. Bondar' and M. Sh. Ganzhaeva},
     title = {Exponential dichotomy for systems of difference equations under perturbation of coefficients},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {561--572},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_4_a2/}
}
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G. V. Demidenko; A. A. Bondar'; M. Sh. Ganzhaeva. Exponential dichotomy for systems of difference equations under perturbation of coefficients. Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 4, pp. 561-572. http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_4_a2/