Geodesic
On the stability of nonautonomous difference equations with several delays
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2008), pp. 18-26

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We consider the possibility to construct efficient stability criteria for solutions to difference equations with variable coefficients. We prove that one can associate a difference equation with a certain functional differential equation, whose solution has the same asymptotic behavior. We adduce examples, demonstrating the essential character of conditions of the obtained theorems and the exactness of the constant 3/2 which defines the boundary of the stability domain.
Keywords: difference equation, fundamental solution, stability. 
@article{IVM_2008_3_a1,
     author = {V. V. Malygina and A. Yu. Kulikov},
     title = {On the stability of nonautonomous difference equations with several delays},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {18--26},
     publisher = {mathdoc},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_3_a1/}
}
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V. V. Malygina; A. Yu. Kulikov. On the stability of nonautonomous difference equations with several delays. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2008), pp. 18-26. http://geodesic.mathdoc.fr/item/IVM_2008_3_a1/