On the oscillation of the solutions to linear difference equations with variable delay
Electronic Journal of Differential Equations, 2008 A new criterion for the oscillation of the solutions to linear difference equations with variable delay is established. This criterion is based on a new fundamental lemma, which provides a useful inequality for the nonoscillatory solutions of the ...
Christos G. Philos +2 more
doaj
Discrete Dynamics in Nature and Society, 2013 We consider the oscillations of numerical solutions for the nonlinear delay differential equations in the control of erythropoiesis. The exponential θ-method is constructed and some conditions under which the numerical solutions oscillate are presented ...
Qi Wang, Jiechang Wen
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On third-order linear difference equations involving quasi-differences
Advances in Difference Equations, 2006 We study the third-order linear difference equation with quasi-differences and its adjoint equation. The main results of the paper describe relationships between the oscillatory and nonoscillatory solutions of both equations.
Došlá Zuzana, Kobza Aleš
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Cell averaging Chebyshev methods for hyperbolic problems [PDF]
A cell averaging method for the Chebyshev approximations of first order hyperbolic equations in conservation form is described. Formulas are presented for transforming between pointwise data at the collocation points and cell averaged quantities, and ...
Gottlieb, David, Harten, Ami, Wei, Cai
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Oscillation and nonoscillation for impulsive dynamic equations on certain time scales
Advances in Difference Equations, 2006 We discuss the existence of oscillatory and nonoscillatory solutions for first-order impulsive dynamic equations on time scales with certain restrictions on the points of impulse. We will rely on the nonlinear alternative of Leray-Schauder type combined
Henderson Johnny +2 more
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Collective Synchronous Spiking in a Brain Network of Coupled Nonlinear Oscillators. [PDF]
Phys Rev Lett, 2021 Galinsky VL, Frank LR.
europepmc +1 more source
Some Aspects of Essentially Nonoscillatory (ENO) Formulations for the Euler Equations, Part 3 [PDF]
An essentially nonoscillatory (ENO) formulation is described for hyperbolic systems of conservation laws. ENO approaches are based on smart interpolation to avoid spurious numerical oscillations. ENO schemes are a superset of Total Variation Diminishing (
Chakravarthy, Sukumar R.
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Existence of nonoscillatory solutions of higher order neutral differential equations
Filomat, 2016 This article is concerned with nonoscillatory solutions of higher order nonlinear neutral differential equations with deviating and distributed deviating arguments. By using Knaster-Tarski fixed point theorem, new sufficient conditions are established. Illustrative example is given to show applicability of results.
openaire +3 more sources
Highly Altered State of Proton Transport in Acid Pools in Charged Reverse Micelles. [PDF]
J Am Chem Soc, 2023 Hao H +5 more
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The Epileptor Model: A Systematic Mathematical Analysis Linked to the Dynamics of Seizures, Refractory Status Epilepticus, and Depolarization Block. [PDF]
eNeuro, 2020 El Houssaini K, Bernard C, Jirsa VK.
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