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In this paper, we introduce an iterative method to study oscillatory properties of delay difference equations of the following form ∇α [x (t) − r (t) x (t − κ)] + p (t) x (t − τ) − q (t) x (t − σ) = 0, t ≥ t0,where t0 ∈ R, t varies in the real interval [t0,∞), α > 0, κ, τ, σ ≥ 0,r ∈ C([t0 − α,∞) ,R+), p, q ∈ C([t0,∞) ,R+) and ∇αx (t) = x (t) −x (t − α) for t ≥ t0.
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참고문헌 (9)
참고문헌 신청
B. G. Zhang / 1998 / Oscillation for difference equations with continuous variable / Comput. Math. Appl. 36 (9) : 11 ~ 18
B. G. Zhang / 1999 / Linearized oscillation theorems for certain nonlinear difference equations with continuous arguments / Math. Comput. Modelling 30 (1) : 89 ~ 96
B. G. Zhang / 2001 / Oscillations of a class of difference equations with continuous arguments / Appl. Math. Lett. 14 (5) : 557 ~ 561
C. G. Philos / 1992 / Oscillation for first order linear delay differential equations with variable coefficients / Funkcial. Ekvac. 35 (2) : 307 ~ 319
I. Gyori / 1991 / Oscillation Theory of Delay Difference Equations with Applications, Oxford Mathematical Monographs. Oxford Science Publications / The Clarendon Press, Oxford University
B. G. Zhang / 1999 / Linearized oscillation theorems for certain nonlinear difference equations with continuous arguments / Math. Comput. Modelling 30 (1) : 89 ~ 96
B. G. Zhang / 2001 / Oscillations of a class of difference equations with continuous arguments / Appl. Math. Lett. 14 (5) : 557 ~ 561
C. G. Philos / 1992 / Oscillation for first order linear delay differential equations with variable coefficients / Funkcial. Ekvac. 35 (2) : 307 ~ 319
I. Gyori / 1991 / Oscillation Theory of Delay Difference Equations with Applications, Oxford Mathematical Monographs. Oxford Science Publications / The Clarendon Press, Oxford University
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