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Fuzzy Boundary Value Problems Concerning Fredholm Equations and Nagumo's Conditions (Development of the Dynamic Systems under Uncertainty)

Fuzzy Boundary Value Problems Concerning Fredholm Equations and Nagumo's Conditions (Development of the Dynamic Systems under Uncertainty)
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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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Cluster solutions for the FitzHugh-Nagumo system with Neumann boundary conditions

Journal of Differential Equations, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yeyao Hu, Weihong Xie
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Bernstein–Nagumo conditions and solutions to nonlinear differential inequalities

Nonlinear Analysis: Theory, Methods & Applications, 2012
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Nguyen Hoang Loc, Schmitt, Klaus
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On the Bernstein-Nagumos condition in the theory of nonlinear parabolic equations

Journal für die reine und angewandte Mathematik (Crelles Journal), 2004
It is well-known in the theory of second order parabolic equations that the Cauchy-Dirichlet problem need not have a solution if the coefficients of the equation violate certain standard growth conditions. Here, the authors show that a variation of the standard condition implies that this problem has a solution.
Tersenov, Alkis, Tersenov, Aris
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Analysis of a nonlinear reaction-diffusion system of the Fitzhugh-Nagumo type with Robin boundary conditions

Ricerche di Matematica, 2022
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Ghassan A. Al-Juaifri, Akil J. Harfash
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Finite element analysis of nonlinear reaction–diffusion system of Fitzhugh–Nagumo type with Robin boundary conditions

Mathematics and Computers in Simulation, 2023
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Ghassan A. Al-Juaifri, Akil J. Harfash
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Approximate conditional symmetries and approximate solutions of the perturbed Fitzhugh–Nagumo equation

Journal of Mathematical Physics, 2005
We consider a perturbation of the Fitzhugh–Nagumo equation. The perturbation is proportional to the electric potential across the cell membrane. The purpose of this investigation is to determine the effects of a change in electric potential across the cell membrane.
Shih, M., Momoniat, E., Mahomed, F. M.
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On Nagumo's Condition

Canadian Mathematical Bulletin, 1972
The classical uniqueness theorem of Nagumo [1] for ordinary differential equations is as follows.Theorem. If f(t, y) is continuous on 0≤t≤1, -∞<y<∞ and ifthen there is at most one solution to the initial value problem y'=f(t, y), y(0)=0.
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Nagumo type condition for partial differential inclusions

Nonlinear Analysis: Theory, Methods & Applications, 1988
The viability problem for autonomous differential inclusions in Hilbert and Banach spaces and for the generalized equation \(0\in F(x)\) is studied. Let V, H be two Hilbert spaces such that \(V\subset H=H'\subset V'\), the inclusions being compact and dense, and let \(K\subset H\) be a closed set with the so-called internal approximation property.
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