Results 11 to 20 of about 8,072 (173)

A third-order boundary value problem with one-sided Nagumo condition

open access: yesNonlinear 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
openaire   +5 more sources

MULTIPLE PERIODIC SOLUTIONS OF p-LAPLACIAN EQUATION WITH ONE-SIDE NAGUMO CONDITION [PDF]

open access: yesJournal 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
openaire   +3 more sources

Existence result for a third-order ODE with nonlinear boundary conditions in presence of a sign-type Nagumo control

open access: yesJournal of Mathematical Analysis and Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grossinho, Maria do Rosário   +2 more
openaire   +5 more sources

Evolutionary dynamics on a regular networked structured and unstructured multi‐population

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView., 2023
Abstract In this paper, we study collective decision‐making in a multi‐population framework, where groups of individuals represent whole populations that interact by means of a regular network. Each group consists of a number of players and every player can choose between two options.
Wouter Baar   +2 more
wiley   +1 more source

A Nagumo Condition for Ordinary Differential Equations [PDF]

open access: yesProceedings of the American Mathematical Society, 1976
A condition is given which guarantees that each solution of y ( n ) = f ( x , y , y ′ , … , y (
openaire   +2 more sources

Standing Waves in the FitzHugh-Nagumo System and a Problem in Combinatorial Geometry [PDF]

open access: yes, 2006
We show that there is a close relation between standing-wave solutions for the FitzHugh-Nagumo system \[ \Delta u +u(u-a)(1-u) - \delta v=0, \ \ \Delta v-\delta \gamma v + u=0 \ \ \mbox{in} \ R^N,\] \[ u, v \to 0 \ \mbox{as} \ |x| \to +\infty ...
Alikakos   +42 more
core   +1 more source

Dynamics of a FitzHugh-Nagumo system subjected to autocorrelated noise [PDF]

open access: yes, 2008
We analyze the dynamics of the FitzHugh-Nagumo (FHN) model in the presence of colored noise and a periodic signal. Two cases are considered: (i) the dynamics of the membrane potential is affected by the noise, (ii) the slow dynamics of the recovery ...
Augello, G., Spagnolo, B., Valenti, D.
core   +4 more sources

Ambrosetti–Prodi Alternative for Coupled and Independent Systems of Second-Order Differential Equations

open access: yesMathematics, 2023
This paper deals with two types of systems of second-order differential equations with parameters: coupled systems with the boundary conditions of the Sturm–Liouville type and classical systems with Dirichlet boundary conditions.
Feliz Minhós, Gracino Rodrigues
doaj   +1 more source

Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations [PDF]

open access: yes, 2008
In this article, we provide existence results for a general class of nonlocal and nonlinear second-order parabolic equations. The main motivation comes from front propagation theory in the cases when the normal velocity depends on the moving front in a ...
Alvarez   +20 more
core   +5 more sources

Asymptotics of conduction velocity restitution in models of electrical excitation in the heart [PDF]

open access: yes, 2010
We extend a non-Tikhonov asymptotic embedding, proposed earlier, for calculation of conduction velocity restitution curves in ionic models of cardiac excitability.
Biktashev, V.N., Simitev, R.D.
core   +2 more sources

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