Results 261 to 270 of about 3,160,332 (330)

Numerical stability analysis of differential equations with piecewise constant arguments with complex coefficients

open access: closedApplied Mathematics and Computation, 2011
Abstract In this paper we consider the analytical and numerical stability regions of Runge–Kutta methods for differential equations with piecewise continuous arguments with complex coefficients. It is shown that the analytical stability region contained in the numerical one is violated for a ∉ R by the geometric technique.
Wanjin Lv, Zhanwen Yang, M.Z. Liu
openalex   +3 more sources

Stability Analysis of Complex-Valued Neural Networks with Generalized Piecewise Constant Argument

open access: closed2018 Ninth International Conference on Intelligent Control and Information Processing (ICICIP), 2018
This paper is committed to investigating the stability of a type of complex-valued neural networks with generalized piecewise constant argument. The deviating argument in the network is not only advanced but also retarded. In this paper, we select an appropriate Lyapunov function and use inequality techniques, the existence and uniqueness of solution ...
Xuenan Lin, Ailong Wu
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Axial behavior of diffractive lenses under Gaussian illumination: complex-argument spectral analysis

open access: closedJournal of the Optical Society of America A, 1999
We present a general procedure to analyze the axial-irradiance distribution generated by an unlimited diffractive lens under coherent, Gaussian illumination. The resulting on-axis diffraction pattern, which is evaluated in terms of the power complex spectrum of the Fresnel-zone transmittance, explicitly depends on the truncation parameter that we ...
Carlos J. Zapata-Rodrı́guez   +3 more
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A probabilistic analysis of argument cogency [PDF]

open access: yesSynthese, 2018
This paper offers a probabilistic treatment of the conditions for argument cogency as endorsed in informal logic: acceptability, relevance, and sufficiency.
D. Godden, F. Zenker
semanticscholar   +3 more sources

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