A Nonoscillatory Second-Order Time-Stepping Procedure for Reaction-Diffusion Equations
After a theory of morphogenesis in chemical cells was introduced in the 1950s, much attention had been devoted to the numerical solution of reaction-diffusion (RD) partial differential equations (PDEs).
Philku Lee +2 more
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Nonoscillatory solutions of the four-dimensional difference system
We study asymptotic properties of nonoscillatory solutions for a four-dimensional system \[\begin{aligned} \Delta x_{n}&= C_{n}\, y_{n}^{\frac{1}{\gamma}} \\ \Delta y_{n}&= B_{n}\, z_{n}^{\frac{1}{\beta}} \\ \Delta z_{n}&= A_{n}\, w_{n}^{\frac{1}{\alpha}}
Zuzana Dosla, J. Krejčová
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Recessive solutions for nonoscillatory discrete symplectic systems
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Peter Šepitka, R. Hilscher
semanticscholar +2 more sources
Bounded nonoscillatory solutions of neutral type difference systems
This paper deals with the existence of a bounded nonoscillatory solution of nonlinear neutral type difference systems. Examples are provided to illustrate the main results.
Ethiraju Thandapani +2 more
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Analytic solution of an oscillatory migratory alpha^2 stellar dynamo [PDF]
Analytic solutions of the mean-field induction equation predict a nonoscillatory dynamo for homogeneous helical turbulence or constant alpha effect in unbounded or periodic domains. Oscillatory dynamos are generally thought impossible for constant alpha.
Brandenburg, Axel
core +2 more sources
New Criteria for Sharp Oscillation of Second-Order Neutral Delay Differential Equations
In this paper, new oscillation criteria for second-order half-linear neutral delay differential equations are established, using a recently developed method of iteratively improved monotonicity properties of a nonoscillatory solution. Our approach allows
Irena Jadlovská
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Oscillation and Asymptotic Behavior of Three-Dimensional Third-Order Delay Systems
In this paper, oscillation and asymptotic behavior of three-dimensional third-order delay systems are discussed. Some sufficient conditions are obtained to ensure that every solution of the system is either oscillatory or nonoscillatory and converges to ...
Ahmed Abdulhasan Naeif +1 more
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Nonoscillatory Properties of Fourth Order Nonlinear Neutral Differential equation
In this paper, the oscillatory and nonoscillatory qualities for every solution of fourth-order neutral delay equation are discussed. Some conditions are established to ensure that all solutions are either oscillatory or approach to zero as .
I. Z. Mushtt +2 more
semanticscholar +1 more source
On nonoscillatory solutions of differential inclusions [PDF]
This paper introduces a nonoscillatory theory for differential inclusions based on fixed point theory for multivalued maps.
Agarwal, R.P., Grace, S.R., O'Regan, D.
openaire +1 more source
Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales
In this paper, we consider two universal higher order dynamic equations with several delay functions. We will establish two oscillatory criteria of the first equation and a sufficient and necessary condition for the second equation with a nonoscillatory ...
Ya-Ru Zhu +4 more
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