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Article Citation - WoS: 43Citation - Scopus: 43Stability Criteria for Linear Periodic Impulsive Hamiltonian Systems(Academic Press inc Elsevier Science, 2007) Guseinov, G. Sh.; Zafer, A.In this paper we obtain stability criteria for linear periodic impulsive Hamiltonian systems. A Lyapunov type inequality is established. Our results improve also the ones previously obtained for systems without impulse effect. (c) 2007 Elsevier Inc. All rights reserved.Article Citation - WoS: 13Citation - Scopus: 15Stability Criterion for Second Order Linear Impulsive Differential Equations With Periodic Coefficients(Wiley-v C H verlag Gmbh, 2008) Guseinov, G. Sh.; Zafer, A.In this paper we obtain instability and stability criteria for second order linear impulsive differential equations with periodic coefficients. Further, a Lyapunov type inequality is also established. (C) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.Article Citation - WoS: 1Citation - Scopus: 2On the Dynamics of the Nonlinear Difference Equation xn+1 = Α Plus Βxn-1 + xn-1(Science Society Thailand, 2015) Aksoy, Aycan; Turan, MehmetThe boundedness and semi-cycle analysis of positive solutions, existence of period-2 solutions, and local and global asymptotic stability of the recursive sequence x(n+1) = alpha + beta x(n-1) + x(n-1)/x(n), n = 0,1,... are investigated where alpha is an element of [0, infinity), beta is an element of [0, 1) and the initial conditions x(-1) and x(0) are arbitrary positive real numbers. The paper concludes with some numerical examples to illustrate the theoretical results.
