Results 51 to 60 of about 155 (127)
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
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
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]
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
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
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
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]
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
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

