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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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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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Cluster solutions for the FitzHugh-Nagumo system with Neumann boundary conditions

Journal of Differential Equations, 2023
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Yeyao Hu, Weihong Xie
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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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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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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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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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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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Dynamic boundary value problems of the second-order: Bernstein–Nagumo conditions and solvability

Nonlinear Analysis: Theory, Methods & Applications, 2007
The existence of solutions to the dynamic boundary value problem \[ y^{\triangle\triangle}=f(t,y^\sigma,y^\triangle),\quad t\in[a,b]_T,\quad y(a)=A,\quad y(\sigma^2(b))=B, \] is studied. Here, \(T\) is the so-called ``time scale'' (in this paper \(T\equiv \mathbb{R}\) or all points in \(T\) are isolated), \([a,b]_T=\{t\in T:\;a\leq t\leq b\},\) \(f:[a ...
Henderson, Johnny, Tisdell, Christopher C.   +1 more
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