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Nonoscillation of half‐linear dynamic equations on time scales
Mathematical methods in the applied sciences, 2021The research contained in this paper belongs to the qualitative theory of dynamic equations on time scales. Via the detailed analysis of solutions of the associated Riccati equation and an advanced averaging technique, we provide the description of ...
P. Hasil +3 more
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Studies in applied mathematics (Cambridge), 2020
In this paper, we obtain some basic results of quaternion algorithms and quaternion calculus on time scales. Based on this, a Liouville formula and some related properties are derived for quaternion dynamic equations on time scales through conjugate ...
Zhien Li +3 more
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In this paper, we obtain some basic results of quaternion algorithms and quaternion calculus on time scales. Based on this, a Liouville formula and some related properties are derived for quaternion dynamic equations on time scales through conjugate ...
Zhien Li +3 more
semanticscholar +1 more source
Necessary and sufficient conditions for oscillation of second‐order dynamic equations on time scales
Mathematical methods in the applied sciences, 2019In this paper, we establish necessary and sufficient conditions for oscillation of second‐order strongly superlinear and strongly sublinear dynamic equations. Our results unify and improve many known results in the literature.
Yong Zhou, B. Ahmad, A. Alsaedi
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IEEE Transactions on Cybernetics, 2020
The so-called zeroing neural network (ZNN) is an effective recurrent neural network for solving dynamic problems including the dynamic nonlinear equations.
Weibing Li, Lin Xiao, Bolin Liao
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The so-called zeroing neural network (ZNN) is an effective recurrent neural network for solving dynamic problems including the dynamic nonlinear equations.
Weibing Li, Lin Xiao, Bolin Liao
semanticscholar +1 more source
2003
If \( \mathbb{T} \) has a right-scattered minimum m, define \( \mathbb{T}_\kappa : = \mathbb{T} - \{ m\} \) ; otherwise, set \( \mathbb{T}_\kappa = \mathbb{T} \) . The backwards graininess \( \nu :\mathbb{T}_\kappa \to \mathbb{R}_0^ + \) is defined by $$ \nu (t) = t - \rho (t).
Douglas Anderson +4 more
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If \( \mathbb{T} \) has a right-scattered minimum m, define \( \mathbb{T}_\kappa : = \mathbb{T} - \{ m\} \) ; otherwise, set \( \mathbb{T}_\kappa = \mathbb{T} \) . The backwards graininess \( \nu :\mathbb{T}_\kappa \to \mathbb{R}_0^ + \) is defined by $$ \nu (t) = t - \rho (t).
Douglas Anderson +4 more
openaire +1 more source
On Linear Equations of Dynamics
Proceedings of the Steklov Institute of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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DYNAMICS OF LATTICE DIFFERENTIAL EQUATIONS
International Journal of Bifurcation and Chaos, 1996In this paper recent work on the dynamics of lattice differential equations is surveyed. In particular, results on propagation failure and lattice induced anisotropy for traveling wave or plane wave solutions in higher space dimensions spatially discrete bistable reaction–diffusion systems are considered.
Chow, Shui-Nee +2 more
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