Results 21 to 30 of about 136,986 (279)
A Note on Almost Anti-Periodic Functions in Banach Spaces [PDF]
The main aim of this note is to introduce the notion of an almost anti-periodic function in Banach space. We prove some characterizations for this class of functions, investigating also its relationship with the classes of anti-periodic functions and almost periodic functions in Banach spaces.
Kostić, M., Velinov, D.
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Laser Interference Lithography—A Method for the Fabrication of Controlled Periodic Structures
A microstructure determines macro functionality. A controlled periodic structure gives the surface specific functions such as controlled structural color, wettability, anti-icing/frosting, friction reduction, and hardness enhancement.
Ri Liu +5 more
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Anti-periodic solutions for nonlinear evolution inclusions
The authors consider the nonlinear anti-periodic evolution inclusion \[ \begin{aligned} & -u'(t)\in A(t,u(t))+F(t,u(t))\text{ a.e. on }I=[0,T],\\ & u(0)=-u(T),\end{aligned}\eqno{(1)} \] where \(\left( X,H,X^{\ast }\right) \) is an evolution triple, \(A:I\times X\rightarrow 2^{X^{\ast }}\) and \(F:I\times X\rightarrow 2^{H}\). \ It is not assumed that \(
Gasiński, Leszek +1 more
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A class of rings which are algebric over the integers
A well-known theorem of N. Jacobson states that any periodic associative ring is commutative. Several authors (most notably Kaplansky and Herstein) generalized the periodic polynomial condition and were still able to conclude that the rings under ...
Douglas F. Rall
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Temperature chaos is a non-local effect [PDF]
Temperature chaos plays a role in important effects, like for example memory and rejuvenation, in spin glasses, colloids, polymers. We numerically investigate temperature chaos in spin glasses, exploiting its recent characterization as a rare-event ...
Fernandez, L. A. +4 more
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A class of Clifford-valued high-order Hopfield neural networks (HHNNs) with state-dependent and leakage delays is considered. First, by using a continuation theorem of coincidence degree theory and the Wirtinger inequality, we obtain the existence of ...
Huo Nina, Li Bing, Li Yongkun
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Linear difference equations, frieze patterns, and the combinatorial Gale transform
We study the space of linear difference equations with periodic coefficients and (anti)periodic solutions. We show that this space is isomorphic to the space of tame frieze patterns and closely related to the moduli space of configurations of points in ...
SOPHIE MORIER-GENOUD +3 more
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Anti-periodic behavior for quaternion-valued delayed cellular neural networks
In this manuscript, quaternion-valued delayed cellular neural networks are studied. Applying the continuation theorem of coincidence degree theory, inequality techniques and a Lyapunov function approach, a new sufficient condition that guarantees the ...
Zhenhua Duan, Changjin Xu
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When the anti-periodic boundary condition is imposed for a bulk field in extradimensional theories, independently of the background metric, the lightest component in the anti-periodic field becomes stable and hence a good candidate for the dark matter in
A Aranda +77 more
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Isolating Segments and Anti-Periodic Solutions
Using the technique based on the notion of periodic isolating segments, the author establishes a sufficient condition for the existence of \(2^n\) geometrically distinct solutions of the two-point boundary value problem \[ \dot{x}=f(t,x), \qquad x(0)=g(x(nT)), \] where \(f\) is a smooth vector field on the manifold \(M\) and \(n\) is a positive integer.
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