Results 91 to 100 of about 1,158 (197)

Existence of positive radial solution for the elliptic system on an exterior domain

Boundary Value Problems
This article discusses the existence of positive radial solution for the elliptic system { − △ u = K ( | x | ) f ( | x | , u , v , | ∇ u | ) , x ∈ Ω , − △ v = K ( | x | ) g ( | x | , u , v , | ∇ v | ) , x ∈ Ω , α 1 u + β 1 ∂ u ∂ n | ∂ Ω = 0 , α 2 v + β 2
Dan Wang, Yongxiang Li, Shengbin Yang
doaj   +1 more source

Ordinary differential equations on closed subsets of locally convex spaces with applications to fixed point theorems

, 1990
The construction and convergence of an approximate solution to the initial value problem x′ = f(t, x), x(0) = x0, defined on closed subsets of locally convex spaces are given.
Polewczak, Jacek
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Ordinary differential equations on closed subsets of Fréchet spaces with applications to fixed point theorems

, 1989
The construction and convergence of an approximate solution to the initial value problem x ′ = f ( t , x ) , x ( 0 ) =
Jacek Polewczak
core   +1 more source

Standing Waves Joining with Turing Patterns in FitzHugh–Nagumo Type Systems

, 2013
[[abstract]]An article by Kondo and Asai demonstrated that the pattern formation and change on the skin of tropical fishes can be predicted well by reaction-diffusion models of Turing type.
Chen, Chao-Nien; Ei, Shin-Ichiro; Lin, Ya-Ping; Kung, Shih-Yin
core  

Periodic solutions of nonconvex differential inclusions

, 1993
Using a Nagumo type tangential condition, we establish the existence of periodic solutions for a differential inclusion with a nonconvex valued orientor ...
Papageorgiou, N.S., N.S. Papageorgiou, Papageorgiou, NS   +2 more
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Synchronization of Coupled FitzHugh–Nagumo Neurons Using Self-Feedback Time Delay

, 2018
Many neurological diseases are characterized by abnormally synchronous oscillations of neuronal populations. However, how the neurons can synchronize with each other is still not fully understood, which may have potentially hampered the understanding ...
Xinle Song, Fucheng Liao, Denggui Fan
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Solvability of an elastic beam equation in presence on a sign-type Nagumo control

, 2011
The aim of this work is to establish an existence and localization result for the fourth order two-point boundary value problem u^(iv) = f (x;u;u';u'';u''') ; 0 < x < 1; u(0) = u'(1) = u''(0) = u'''(1) = 0; related to elastic beam models.
Grossinho, Maria do Rosário, Santos, Ana Isabel   +1 more
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Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons.

, 2012
International audienceABSTRACT: We derive the mean-field equations arising as the limit of a network of interacting spiking neurons, as the number of neurons goes to infinity. The neurons belong to a fixed number of populations and are represented either
Faugeras, Olivier, Diego Fasoli, Javier Baladron, Touboul, Jonathan, Olivier Faugeras, Jonathan Touboul, Baladron, Javier, Fasoli, Diego   +7 more
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Pararrieter dependence of a bona-fide stochastic resonance in a stochastic FitzHugh-Nagumo neuron

, 2018
Recently, an alternative stochastic resonance (SR) condition, called the bona-fide SR, was proposed for a bistable system based on the notions of a residence time distribution, and the existence and the structure of optimal resonant frequencies with ...
Lee, SG, Kim, S
core  

On the existence of periodic solutions for nonconvex differential inclusions [PDF]

, 1996
summary:Using a Nagumo type tangential condition and a recent theorem on the existence of directionally continuous selector for a lower semicontinuous multifunctions, we establish the existence of periodic trajectories for nonconvex differential ...
Papageorgiou, Nikolaos S., Nikolaos S. Papageorgiou, Kravvaritis, Dimitrios, Dimitrios Kravvaritis   +3 more
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