• Title/Summary/Keyword: DIFFERENCE

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STABILITY IN FUNCTIONAL DIFFERENCE EQUATIONS WITH APPLICATIONS TO INFINITE DELAY VOLTERRA DIFFERENCE EQUATIONS

  • Raffoul, Youssef N.
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.6
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    • pp.1921-1930
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    • 2018
  • We consider a functional difference equation and use fixed point theory to obtain necessary and sufficient conditions for the asymptotic stability of its zero solution. At the end of the paper we apply our results to nonlinear Volterra infinite delay difference equations.

OSCILLATION OF NEUTRAL DIFFERENCE EQUATIONS

  • Koo, Nam Jip
    • Journal of the Chungcheong Mathematical Society
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    • v.12 no.1
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    • pp.125-131
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    • 1999
  • We obtain some sufficient conditions for oscillation of the neutral difference equation with positive and negative coefficients $${\Delta}(x_n-cx_{n-m})+px_{n-k}-qx_{n-l}=0$$, where ${\Delta}$ denotes the forward difference operator, m, k, l, are nonnegative integers, and $c{\in}[0,1),p,q{\in}\mathbb{R}^+$.

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h-STABILITY IN VOLTERRA DIFFERENCE SYSTEMS

  • Goo, Yoon Hoe;Park, Gyeong In;Ko, Jung Hyun
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.535-543
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    • 2009
  • We investigate h-stability of solutions of nonlinear Volterra difference systems and linear Volterra difference systems.

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Comparison of Perturbation Analysis Estimate and Forward Difference Estimate in a Markov Renewal Process

  • Park, Heung-sik
    • Communications for Statistical Applications and Methods
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    • v.7 no.3
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    • pp.871-884
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    • 2000
  • Using simulation, we compare the perturbation analysis estimate and the forward difference estimate for the first and second derivatives of performance measures in a Markov renewal process. We find the perturbation analysis estimate has much les mean squared error than the traditional forward difference estimate.

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DECOMPOSITIONS OF IDEALS IN DIFFERENCE ALGEBRAS

  • AHN, SUN SHIN
    • Honam Mathematical Journal
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    • v.28 no.3
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    • pp.343-351
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    • 2006
  • In this paper, we study decompositions of weak ideals in difference algebras and obtain equivalent conditions for closed weak ideals. Moreover, we show that if I is an ideal of a difference algebra X, then $I^g$ is an ignorable weak ideal of X.

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On the 3-Ranks and Characteristic Polynomials of HKN and Lin Difference Sets

  • Jong-Seon No;Dong-Joon Shin
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.26 no.7A
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    • pp.1257-1263
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    • 2001
  • In the paper, the p-ranks and characteristics polynomials of cyclic difference sets are derived by expanding the trace expression of their characteristic sequences. By using this method, it is shown that the 3-ranks and characteristic polynomials of Helleseth-Kumar-Martinsen (HKM) difference set and Lin difference set can be easily obtained.

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SOME RESULTS RELATED TO DIFFERENTIAL-DIFFERENCE COUNTERPART OF THE BRÜCK CONJECTURE

  • Md. Adud;Bikash Chakraborty
    • Communications of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.117-125
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    • 2024
  • In this paper, our focus is on exploring value sharing problems related to a transcendental entire function f and its associated differential-difference polynomials. We aim to establish some results which are related to differential-difference counterpart of the Brück conjecture.