Results 51 to 60 of about 155 (127)

Existence results for ϕ-Laplacian Dirichlet BVP of differential inclusions with application to control theory

open access: yes, 2010
In this paper, we study ϕ-Laplacian problems for differential inclusions with Dirichlet boundary conditions. We prove the existence of solutions under both convexity and nonconvexity conditions on the multi-valued right-hand side.
Djebali, Smaïl, Ouahab, Abdelghani
core   +1 more source

THE ROLE OF LOWER AND UPPER SOLUTIONS IN THE GENERALIZATION OF LIDSTONE PROBLEMS

open access: yes, 2012
In this the authors consider a nonlinear fourth order fully equation coupled with the Lidstone boundary conditions, We discuss how di erent de nitions of lower and upper solutions can generalize existence and location results for boundary value problems ...
Minhós, Feliz, Fialho, João
core  

Image Coding and Pooling with a Bio-inspired Reaction-Diffusion Algorithm

open access: yes, 2015
This paper proposes a reaction-diffusion algorithm designed for image encoding, pooling and decoding with a FitzHugh-Nagumo model. The model simulates biological nonlinear response on external stimuli applied to nerve axon. A system of discretely coupled
Nomura, Atsushi
core   +1 more source

Fast Simulations of Models of Cardiac Electrophysiology [PDF]

open access: yes, 2022
Cardiac electrophysiology studies the electrical activity of the heart. Researchers from different fields are working together to model and simulate the electrical activity in the heart.
Tereda, Yoseph
core  

Mean Field description of and propagation of chaos in recurrent multipopulation networks of Hodgkin-Huxley and Fitzhugh-Nagumo neurons

open access: yes, 2011
55 pages, 9 figuresWe derive the mean-field equations arising as the limit of a network of interacting spiking neurons, as the number of neurons goes to infinity.
Faugeras, Olivier   +3 more
core   +1 more source

Bona fide stochastic resonance and multimodality in the stochastic Hodgkin-Huxley neuron

open access: yes, 2019
The phenomena of stochastic resonance (SR) has attracted much attention in the studies of the excitable systems, in particular, the nervous systems under noise. Recently, an alternative SR condition, called the bona fide SR, was proposed for the bistable
Lee, SG, Kim, S
core   +1 more source

A generalized periodic boundary value problem for the one-dimensional p-Laplacian

open access: yes, 1997
The generalized periodic boundary value problem -[g(u')]' = f(t,u,u'), a 1, and f is a Carathéodory function satisfying a Nagumo condition. The problem has a solution if and only if there exists a lower solution α and an upper solution β with α(t) ≤ β(t)
Jiang, Daqing, Wang, Junyu
core  

Existencia de solucións de ecuacións diferenciais ordinarias periódicas por medio da teoría de sub e sobre solucións [PDF]

open access: yes, 2019
Traballo Fin de Grao en Matemáticas. Curso 2018-2019[GL] A teoría de sub e sobre solucións tenta probar a existencia de solución do problema de contorno por medio da existencia de sub e sobre solucións.
Brouet Alonso, Alba Marie
core  

A fourth order BVP of Sturm-Liouville with asymmetric unbounded nonlinearities

open access: yes, 2006
It is obtained an existence and location result for the fourth order boundary value problem of Sturm-Liouville type u^{(iv)}(t)=f(t,u(t),u′(t),u′′(t),u′′′(t)), for t∈[0,1], u(0)=u(1)=A, k₁u′′′(0)-k₂u′′(0)=0, k₃u′′′(1)+k₄u′′(1)=0, where f:[0,1]×R⁴→R is a ...
Gyulov, Thiomir   +2 more
core  

Oral Presentation

open access: yes
European Journal of Neurology, Volume 32, Issue S1, June 2025.
wiley   +1 more source

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