Displaying similar documents to “Explicit conditions for stability of nonlinear scalar delay impulsive difference equation.”

On oscillatory first order neutral impulsive difference equations

Arun Kumar Tripathy, Gokula Nanda Chhatria (2020)

Mathematica Bohemica

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We have established sufficient conditions for oscillation of a class of first order neutral impulsive difference equations with deviating arguments and fixed moments of impulsive effect.

Stability in linear neutral difference equations with variable delays

Abdelouaheb Ardjouni, Ahcene Djoudi (2013)

Mathematica Bohemica

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In this paper we use the fixed point method to prove asymptotic stability results of the zero solution of a generalized linear neutral difference equation with variable delays. An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Y. N. Raffoul (2006), E. Yankson (2009), M. Islam and E. Yankson (2005).

Eventually positive solutions for nonlinear impulsive differential equations with delays

Shao Yuan Huang, Sui Sun Cheng (2012)

Annales Polonici Mathematici

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Several recent oscillation criteria are obtained for nonlinear delay impulsive differential equations by relating them to linear delay impulsive differential equations or inequalities, and then comparison and oscillation criteria for the latter are applied. However, not all nonlinear delay impulsive differential equations can be directly related to linear delay impulsive differential equations or inequalities. Moreover, standard oscillation criteria for linear equations cannot be applied...