A Fourth-Order Boundary Value Problem with One-Sided Nagumo Condition [PDF]
Boundary Value Problems, 2011 The aim of this paper is to study a fourth-order separated boundary value problem with the right-hand side function satisfying one-sided Nagumo-type condition.
Wenjie Gao, Wenjing Song
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Cubo, 2023 In this paper, we consider the following $(n+1)$st order bvp on the half line with a $\phi-$Laplacian operator $$ \begin{cases} (\phi(u^{(n)}))'(t)=f(t,u(t),\ldots,u^{(n)}(t)),& a.e., \,t\in [ 0,+\infty ),\\& n\in \mathbb{N}\setminus\{0\}, \\ u^
A. Zerki, K. Bachouche, K. Ait-Mahiout
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Clarification and Complement to "Mean-Field Description and Propagation of Chaos in Networks of Hodgkin-Huxley and FitzHugh-Nagumo Neurons". [PDF]
J Math Neurosci, 2015 In this note, we clarify the well-posedness of the limit equations to the mean-field $N$-neuron models proposed in Baladron et al. and we prove the associated propagation of chaos property. We also complete the modeling issue in Baladron et al.
Bossy M, Faugeras O, Talay D.
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A note on a class of problems for a higher-order fully nonlinear equation under one-sided Nagumo-type condition [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grossinho, Maria do Rosário +2 more
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MULTIPLE PERIODIC SOLUTIONS OF p-LAPLACIAN EQUATION WITH ONE-SIDE NAGUMO CONDITION [PDF]
Journal of the Korean Mathematical Society, 2008 In this paper, the existence and multiplicity of solution of periodic solutions of p-Laplacian boundary value problem are studied by using degree theory and upper and lower solutions method. Some known results are improved.
Jian Jun Zhang +3 more
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How close are time series to power tail L\'evy diffusions? [PDF]
, 2017 This article presents a new and easily implementable method to quantify the so-called coupling distance between the law of a time series and the law of a differential equation driven by Markovian additive jump noise with heavy-tailed jumps, such as ...
Brown, André EX +11 more
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A third-order boundary value problem with one-sided Nagumo condition
Nonlinear Analysis: Theory, Methods & Applications, 2005 Abstract In this paper we present an existence and location result for the third-order separated boundary value problem u ‴ ( t ) = f ( t , u ( t ) , u ′ ( t ) , u ″ ( t ) ) , u ( a ) = A , u ″ ( a ) = 0 , u ″ ( b ) = 0 , where f : [ a
Grossinho, Maria do Rosário +2 more
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SOLVABILITY OF HIGHER-ORDER BVPS IN THE HALF-LINE WITH UNBOUNDED NONLINEARITIES [PDF]
, 2015 This work presents suficient conditions for the existence of unbounded solutions of a Sturm-Liouville type boundary value problem on the half-line. One-sided Nagumo condition plays a special role because it allows an asymmetric unbounded behavior on the ...
A. Cabada +16 more
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Mixed-mode oscillations and interspike interval statistics in the stochastic FitzHugh-Nagumo model [PDF]
, 2012 We study the stochastic FitzHugh-Nagumo equations, modelling the dynamics of neuronal action potentials, in parameter regimes characterised by mixed-mode oscillations.
Birkhoff G +11 more
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Location results: an under used tool in higher order boundary value problems [PDF]
, 2009 The method of lower and upper solutions provides, as well as residts of existence, other important properties such as location of solution, extremal solutions,..., which have been under used and, moreover, its potential has not been optimized, either in ...
Minhós, Feliz
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