Results 131 to 140 of about 943 (165)

Existence and regularity for the Fitzhugh-Nagumo equations with inhomogeneous boundary conditions

Nonlinear Analysis: Theory, Methods & Applications, 1990
The author considers the FitzHugh-Nagumo equations which model the transmission of electrical impulses in a nerve axon. Existence and uniqueness of solutions to an initial-boundary value problem with irregular data is proved by the use of a Galerkin method.
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The existence and multiplicity of solutions of three-pointp-Laplacian boundary value problems with one-sided Nagumo condition

Journal of Applied Mathematics and Computing, 2007
The authors study the \(p\)-Laplacian equation \[ (\phi_p(u'))'=f(t,u,u'),\quad t\in (0,1), \] with the three-point boundary conditions \[ u'(0)=0,\quad u(1)=u(\eta),\quad \eta\in(0,1). \] The solvability of the boundary value problem at resonance is discussed by the method of two pairs of lower and upper solutions.
Zhang, Jianjun, Liu, Wenbin, Ni, Jinbo, Chen, Taiyong   +3 more
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Higher order nonlinear two-point boundary value problems with sign-type Nagumo condition

AIP Conference Proceedings, 2009
In this paper we present existence and location results for two‐point boundary value problems for third and fourth order fully nonlinear differential equations.Nonlinearities are assumed to satisfy a sign‐type Nagumo condition which allows an asymmetric unbounded behavior. The arguments make use of lower and upper solutions method and degree theory.
Maria do Rosário Grossinho, Feliz Minhós, Ana Isabel Santos, Alberto Cabada, Eduardo Liz, Juan J. Nieto   +5 more
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Nagumo and Landesman-Lazer type conditions for nonlinear second order systems

Nonlinear Differential Equations and Applications NoDEA, 2007
We study the existence of solutions for a nonlinear second order system of ordinary differential equations under various boundary conditions. Assuming suitable Nagumo type conditions we prove the existence of at least one solution applying the method of upper and lower solutions.
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A numerical method for determining the localized initial condition in the FitzHugh-Nagumo and Aliev-Panfilov models

Moscow University Computational Mathematics and Cybernetics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Analysis of nonlinear reaction-diffusion system of Fitzhugh-Nagumo type with Robin boundary conditions

We analyze the system of reaction-diffusion equations of Fitzhugh-Nagumo (FHN) type on open bounded convex domains $\mathcal{D} \subset \mathbb{R}^{d} (d \leq 3)$ with Robin boundary conditions. Classical Faedo-Galerkin approach \cite{lions1969quelques} and compactness arguments are utilised to ...
Ghassan Al-Juaifri, Akil Harfash
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Efficient numerical method for the Fitzhugh-Nagumo equations with Neumann boundary conditions

SCIREA Journal of Physics, 2023
Hao Zhou, Xiang Liu, Weiguo Zhang, Yiwen Liao   +3 more
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NAGUMO CONDITIONS FOR ORDINARY DIFFERENTIAL EQUATIONS

1975
Joan E. Innes, Lloyd K. Jackson
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Higher order nonlinear two-point boundary value problems with sign-type Nagumo condition

2012
In this paper we present existence and location results for two-point boundary value problems for third and fourth order fully nonlinear differential equations. Nonlinearities are assumed to satisfy a sign-type Nagumo condition which allows an asymmetric unbounded behavior The arguments make use of lower and upper solutions method and degree theory.
Santos, Ana Isabel, Minhós, Feliz, Grossinho, Maria do Rosário   +2 more
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WITHDRAWN: A fixed point theorem reflecting the ideas of Nagumo-type conditions

Nonlinear Analysis: Theory, Methods & Applications, 2009
V. Lakshmikantham, S. Leela
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