Journal of applied mathematics & informatics

  • 제7권3호
  • /
  • Pages.833-842
  • /
  • 2000
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

OSCILLATIONS FOR EVEN-ORDER NEUTRAL DIFFERENCE EQUATIONS

  • Zhou, Zhan (Deaprtment of Applied Mathematics, Hunan University) ;
  • Yu, Jianshe (Deaprtment of Applied Mathematics, Hunan University) ;
  • Lei, Guanglong (Institute of International Business, Hunan University)
  • 발행 : 2000.09.01

⟨ 이전 논문 다음 논문 ⟩

초록

Consider the even-order neutral difference equation (*) ${\delta}^m(x_n{-}p_ng(x_{n-k}))-q_nh(x_{n-1})=0$, n=0,1,2,... where $\Delta$ is the forward difference operator, m is even, ${-p_n},{q_n}$ are sequences of nonnegative real numbers, k, l are nonnegative integers, g(x), h(x) ${\in}$ C(R, R) with xg(x) > 0 for $x\;{\neq}\;0$. In this paper, we obtain some linearized oscillation theorems of (*) for $p_n\;{\in}\;(-{\infty},0)$ which are discrete results of the open problem by Gyori and Ladas.

키워드

참고문헌

  1. Oscillation Theory of Delay Differential Equations: With Applications I. Gyori;G. Ladas
  2. J. Math. Anal. Appl. v.159 Linearized oscillations for even-order neutral differential equations G. Ladas;C. Qian
  3. Stability and Oscillations in Dealy Differential Equations of Population Dynamics Stability and Oscillations in Dealy Differential Equations of Population Dynamics K. Gopalsamy
  4. Hiroshima Math. J. v.26 Linearized oscillations for neutral differential equations Ⅱ: Even-order L. H. Erbe;J. S. Yu
  5. Mathematical Sciences Research Hot-Line v.2 no.8 Linearized oscillations for even-order neutral difference equations Z. Zhou;Q. Q. Zhang
  6. Diff. Int. Equ. v.2 Linearized oscillations for equations with piecewise constant argument I. Gyori;G. Ladas
  7. Hiroshima Math. J. v.22 Linearized oscillations for difference equations V. L. J. Kocic;G. Ladas
  8. Internat. J. Math. & Math. Sci. v.15 Comparison results and linearized oscillations for higher-order difference equations G. Ladas;C. Qian
  9. Difference Equations: An Introduction with Applications W. G. Kelly;A. C. Peterson
  10. Difference Equations and Inequalities: Theory, Method and Applications R. P. Agarwal