An improvement of the product integration method for a weakly singular Hammerstein equation
, 2016 We present a new method to solve nonlinear Hammerstein equations with weakly singular kernels. The process to approximate the solution, followed usually, consists in adapting the discretization scheme from the linear case in order to obtain a nonlinear ...
Grammont, Laurence, Kaboul, Hanane
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Existence of solutions of some quadratic integral equations [PDF]
, 2008 In this paper we study the existence of continuous solutions of quadratic integral equations. The theory of quadratic integral equations has many useful applications in mathematical physics, economics, biology, as well as in describing real world ...
Giuseppe Anichini, Giuseppe Conti
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Existence and Stability of Standing Pulses in Neural Networks: II Stability [PDF]
, 2004 We analyze the stability of standing pulse solutions of a neural network integro-differential equation. The network consists of a coarse-grained layer of neurons synaptically connected by lateral inhibition with a non-saturating nonlinear gain function ...
C. Chow, Carson, Yixin Guo
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A systematic procedure for incorporating separable static heterogeneity into compartmental epidemic models. [PDF]
J Math Biol, 2023 Diekmann O, Inaba H.
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The British Asian Option [PDF]
Following the economic rationale of [7] and [8] we present a new class of Asian options where the holder enjoys the early exercise feature of American options whereupon his payoff (deliverable immediately) is the ‘best prediction’ of the European payoff ...
Farman Samee +2 more
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An operator-theoretical study of the specific heat and the critical magnetic field in the BCS-Bogoliubov model of superconductivity. [PDF]
Sci Rep, 2020 Watanabe S.
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The British Russian Option [PDF]
Following the economic rationale of [10] and [11] we present a new class of lookback options (by first studying the canonical 'Russian' variant) where the holder enjoys the early exercise feature of American options where upon his payoff (deliverable ...
Farman Samee +2 more
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Discounted Optimal Stopping for Maxima in Diffusion Models with Finite Horizon [PDF]
We present a solution to some discounted optimal stopping problem for the maximum of a geometric Brownian motion on a finite time interval. The method of proof is based on reducing the initial optimal stopping problem with the continuation region ...
Pavel V. Gapeev
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Some theoretical results for a class of neural mass equations
, 2010 We study the neural field equations introduced by Chossat and Faugeras in their article to model the representation and the processing of image edges and textures in the hypercolumns of the cortical area V1.
Chossat, Pascal +2 more
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Analysis of a hyperbolic geometric model for visual texture perception. [PDF]
J Math Neurosci, 2011 Faye G, Chossat P, Faugeras O.
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