논문KCI 등재
COMPARISON THEOREMS ON THE OSCILLATION OF A CLASS OF NEUTRAL DIFFERENCE EQUATIONS WITH CONTINUOUS VARIABLES
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
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.
Abstract
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.
참고문헌 (9)
- I. Gyori, "Oscillation Theory of Delay Difference Equations with Applications, Oxford Mathematical Monographs. Oxford Science Publications" (1991), The Clarendon Press, Oxford University Press
- X. Li, "Comparison theorems of oscillation and nonoscillation for neutral difference equations with continuous arguments", Commun. Pure Appl. Anal., 2(4), pp.579~589 (2003)
- C. G. Philos, "Oscillation for first order linear delay differential equations with variable coefficients", Funkcial. Ekvac., 35(2), pp.307~319 (1992)
- J. H. Shen, "Comparison theorems for oscillations of difference equations with continuous variables", Kexue Tongbao (Chinese), 41(16), pp.1441~1444 (1996)
- B. G. Zhang, "Oscillations of a class of difference equations with continuous arguments", Appl. Math. Lett., 14(5), pp.557~561 (2001)
- B. G. Zhang, "Linearized oscillation theorems for certain nonlinear difference equations with continuous arguments", Math. Comput. Modelling, 30(1), pp.89~96 (1999)
- B. G. Zhang, "Oscillation for difference equations with continuous variable", Comput. Math. Appl., 36(9), pp.11~18 (1998)
- Y. Zhang, "Oscillation criteria for difference equations with continuous arguments", Acta Math. Sinica, 38(3), pp.406~411 (1995)
- Y. Zhou, "Oscillation of difference equations with variable coefficients and continuous arguments", Economic Math., 13(1), pp.86~89 (1996)
관련 논문AI추천
Oscillation criteria for difference equations with several oscillating coefficientsGeorge E. Chatzarakis, Ioannis P. Stavroulakis, Martin Bohner대한수학회 · 대한수학회보2015 · 제52권 제1호Oscillation of nonlinear second order neutral delay dynamic equations on time scalesHassan A. Agwo대한수학회 · 대한수학회보2008 · 제45권 제2호Existence of nonoscillatory solutions of higher-order difference equations with positive and negative coefficientsHaiyan Liang, Qiaoluan Li, Wenlei Dong, Zhenguo Zhang대한수학회 · 대한수학회보2008 · 제45권 제1호Oscillation of Linear Second Order Delay Dynamic Equations on Time ScalesHassan Ahmed Agwo경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제3호OSCILLATORY BEHAVIOR OF SECOND-ORDER HALF-LINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH DAMPING TERML. Gao, Q. Zhang, S. Liu장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호Oscillation behavior of solutions of third-order nonlinear delay dynamic equations on time scalesMeng Zhang, Shurong Sun, Tongxing Li, Zhenlai Han대한수학회 · 대한수학회논문집2011 · 제26권 제3호
이 간행물의 다른 논문 (16건)
SOME NEW ČEBYŠEV TYPE INEQUALITIESNazir Ahmad Mir, Arif Rafiq, Fiza Zafarpp. 221-229ASYMPTOTIC STUDY OF MIXED ROTATING MHD SYSTEMRidha Selmipp. 231-249STATIONARY PATTERNS FOR A PREDATOR-PREY MODEL WITH HOLLING TYPE Ⅲ RESPONSE FUNCTION AND CROSS-DIFFUSIONZhigui Lin, Jia Liupp. 251-261GENERAL NONLINEAR VARIATIONAL INCLUSIONS WITH H-MONOTONE OPERATOR IN HILBERT SPACESPingping Zheng, Tao Cai, 강신민, Zeqing Liupp. 263-274SOME EXAMPLES OF RELATIONS BETWEEN NON-STABLE INTEGRAL COHOMOLOGY OPERATIONSAndrew Percypp. 275-286