One parameter family of linear difference equations and the stability problem for the numerical solution of ODEs.
Aceto, L., Pandolfi, R., Trigiante, D. (2006)
Advances in Difference Equations [electronic only]
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Aceto, L., Pandolfi, R., Trigiante, D. (2006)
Advances in Difference Equations [electronic only]
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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).
Illner, R., Rjasanow, S. (1999)
Documenta Mathematica
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Emil Vitásek (1968)
Aplikace matematiky
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Medina, Rigoberto (2004)
International Journal of Mathematics and Mathematical Sciences
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Henryk Leszczyński, Piotr Zwierkowski (2004)
Applicationes Mathematicae
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We consider a generalized 1-D von Foerster equation. We present two discretization methods for the initial value problem and study stability of finite difference schemes on regular meshes.
Čermák, Jan (2010)
Advances in Difference Equations [electronic only]
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Matsunaga, Hideaki (2005)
Journal of Inequalities and Applications [electronic only]
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Deqiong Ding, Qiang Ma, Xiaohua Ding (2014)
International Journal of Applied Mathematics and Computer Science
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In this paper, a NonStandard Finite Difference (NSFD) scheme is constructed, which can be used to determine numerical solutions for an epidemic model with vaccination. Here the NSFD method is employed to derive a set of difference equations for the epidemic model with vaccination. We show that difference equations have the same dynamics as the original differential system, such as the positivity of the solutions and the stability of the equilibria, without being restricted by the time...
T. Lewiński (1984)
Applicationes Mathematicae
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