IJPAM: Volume 78, No. 4 (2012)
ON DIFFERENCE EQUATIONS
Department of Differential Equations and Dynamical Systems
South Ural State University
Chelyabinsk, 454080, RUSSIAN FEDERATION
Abstract. The second-order linear difference equation of Poincaré type
with Buslaev's restrictions on coefficients
is considered. It is assumed that the characteristic roots of the equation have the same modulus. The set of all accumulation points for the sequence for any nontrivial solutions of the equation is described.
Received: June 9, 2012
AMS Subject Classification: 39A10
Key Words and Phrases: second-order difference equation of Poincaré type, Poincaré's theorem, asymptotic behavior, Padé approximants
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395