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Citation - WoS: 3
Instability Intervals of a Hill's Equation With Piecewise Constant and Alternating Coefficient
(Pergamon-elsevier Science Ltd, 2004) Guseinov, GS; Karaca, IY
In this paper, we obtain asymptotic formulas for eigenvalues of the periodic and the semiperiodic boundary value problems associated with a Hill's equation having piecewise constant and alternating coefficient. As a corollary, it is shown that the lengths of instability intervals of the considered Hill's equation tend to infinity. (C) 2004 Elsevier Ltd. All rights reserved.
Citation - WoS: 79
Citation - Scopus: 86
Lyapunov inequalities for discrete linear Hamiltonian systems
(Pergamon-elsevier Science Ltd, 2003) Guseinov, GS; Kaymakçalan, B
In this paper, we present some Lyapunov type inequalities for discrete linear scalar Hamiltonian systems when the coefficient c(t) is not necessarily nonnegative valued and when the end-points are not necessarily usual zeros, but rather, generalized zeros. Applying these inequalities, we obtain some disconjugacy and stability criteria for discrete Hamiltonian systems. (C) 2003 Elsevier Science Ltd. All rights reserved.