Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Ponosov, Arcady"'
Autor:
Ponosov, Arcady1 (AUTHOR) arkadi@nmbu.no, Kadiev, Ramazan I.2 (AUTHOR) kadiev_r@mail.ru
Publikováno v:
Mathematics (2227-7390). Sep2024, Vol. 12 Issue 17, p2710. 15p.
Autor:
Ponosov, Arcady
We study weak and strong solutions of nonlinear non-compact operator equations in abstract spaces of adapted random points. The main result of the paper is similar to Schauder's fixed-point theorem for compact operators. The illustrative examples exp
Externí odkaz:
http://arxiv.org/abs/2208.00674
Autor:
Ponosov, Arcady1 (AUTHOR) arkadi@nmbu.no, Shlykova, Irina1 (AUTHOR), Kadiev, Ramazan I.2 (AUTHOR) kadievr@mail.ru
Publikováno v:
Mathematics (2227-7390). Apr2024, Vol. 12 Issue 8, p1223. 17p.
Publikováno v:
In Physica D: Nonlinear Phenomena May 2024 461
We obtain conditions for existence of unique global or maximally extended solutions to generalized neural field equations. We also study continuous dependence of these solutions on the spatiotemporal integration kernel, delay effects, firing rate and
Externí odkaz:
http://arxiv.org/abs/1805.06754
We study the existence of fixed points to a parameterized Hammertstain operator $\cH_\beta,$ $\beta\in (0,\infty],$ with sigmoid type of nonlinearity. The parameter $\beta<\infty$ indicates the steepness of the slope of a nonlinear smooth sigmoid fun
Externí odkaz:
http://arxiv.org/abs/1511.06364
Publikováno v:
In Physica A: Statistical Mechanics and its Applications 1 January 2020 537
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We develop two iteration schemes for construction of localized stationary solutions (bumps) of a one-population Wilson-Cowan model with a smoothed Heaviside firing rate function. The first scheme is based on the fixed point formulation of the station
Externí odkaz:
http://arxiv.org/abs/1302.5322
Autor:
Kadiev, Ramazan1,2 (AUTHOR), Ponosov, Arcady1,2 (AUTHOR)
Publikováno v:
International Journal of Differential Equations. 5/31/2022, p1-13. 13p.