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We study the nonrelativistic limit of the cubic Klein-Gordon equations. We show the cubic Klein-Gordon equation converges to the cubic Schr\"odinger equation with a convergence rate of order $\epsilon...
Baryon chiral perturbation theory as conventionally applied using dimensional regularization has a well-known problem with the convergence of the SU(3) chiral expansion. One can reformulate the theory...
The divergence of perturbative expansions which occurs for the vast majority of macroscopic systems and follows from Dyson’s collapse argument prevents the direct use of Feynman’s diagrammatic techniq...
In this paper, several discrete schemes for Gaussian curvature are sur- veyed. The convergence property of a modi痚d discrete scheme for the Gaussian curvature is proved. Furthermore, a new discrete ...
Abstract: Motivated by recent experiments on quantum trapped fields, we give a rigorous proof that repeated indirect quantum non-demolition (QND) measurements converge to the collapse of the wave func...
Abstract: Spectral asymptotics of linear periodic elliptic operators with indefinite (sign-changing) density function is investigated in perforated domains with the two-scale convergence method. The l...
Abstract: The objective of the article is to treat the Schrodinger equation in parallel with a standard treatment of the heat equation. In the mathematics literature, the heat equation initial value p...
Abstract: Motivated by the fact that in nature almost all phenomena behave randomly in some scales and deterministically in some other scales, we build up a framework suitable to tackle both determini...
2007Vol.47No.6pp.1143-1144DOI: A Note on “Global Exponential Convergence Analysis of Hopfield Neural Networks with Continuously Distributed Delays” CHANG Da-Wei Facu...
2003Vol.39No.3pp.381-384DOI: Global Exponential Convergence Analysis of Hopfield Neural Networks with Continuously Distributed Delays ZHANG Qiang,1 MA Run-Nian,1 and XU Jin2 ...

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