Results 11 to 20 of about 2,439,749 (187)

Clustered spots in the FitzHugh-Nagumo system [PDF]

, 2005
We construct {\bf clustered} spots for the following FitzHugh-Nagumo system: \[\left\{\begin{array}{l}\ep^2\Delta u +f(u)-\delta v =0\quad \mbox{in} \ \Om,\\[2mm]\Delta v+ u=0 \quad \mbox{in} \ \Om,\\[2mm] u= v =0 \quad\mbox{on} \ \partial \Om, \end{
Winter, M, Wei, J
core   +8 more sources

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, Minhós, F.M., Santos, A.I.   +2 more
openaire   +5 more sources

Using novel simplified models of excitation for analytic description of initiation propagation and blockage of excitation waves [PDF]

, 2006
We consider applications of a recently suggested new asymptotic approach to detailed ionic models of cardiac excitation. First, we describe a three-variable approximation for the excitation fronts in a detailed ionic model of human atrial kinetics.
Simitev, R., Biktashev, V.N., Idris, I.
core   +8 more sources

Adrenocortical Carcinoma in Peutz-Jeghers Syndrome With a Rare STK11 Pathogenic Germline Variant: A Case Report. [PDF]

Cancer Rep (Hoboken)
ABSTRACT Background Peutz–Jeghers syndrome (PJS) is an inherited, autosomal‐dominant condition, featuring STK11 germline mutations, characterized by hamartomatous gastrointestinal polyps and increased cancer risk. The most commonly associated malignancies are gastrointestinal, pancreatic, and breast cancers.
Ishida T, Kandori S, Takahashi R, Nitta S, Shiga M, Nagumo Y, Kawahara T, Hoshi A, Negoro H, Mathis BJ, Sugita S, Matsubara D, Ishiguro T, Nakajima T, Nishiyama H.   +14 more
europepmc   +2 more sources

A Hartman-Nagumo type condition for a class of contractible domains [PDF]

, 2013
We generalize an existence result on second order systems with a nonlinear term satisfying the so-called Hartman-Nagumo condition. The generalization is based on the use of Gauss second fundamental form and continuation techniques.
Amster, Pablo, Haddad, Julián
core   +4 more sources

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

International 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, Leonardo Stella, Dario Bauso   +2 more
wiley   +1 more source

Nagumo conditions and second-order quasilinear equations with compatible nonlinear functional boundary conditions [PDF]

Rocky Mountain Journal of Mathematics, 2011
Assuming the existence of ordered lower and upper solutions for \[ -\frac{d}{dt} \varphi(t,x,x(t),x'(t))=f(t,x,x(t),x'(t)) \quad \text{a.e. on } [0,1], \] the authors establish the existence of solutions to the above differential equation subject to general functional boundary conditions of the form \[ G(x(0),x(1),x,x'(0),x'(1))=(0,0), \] where ...
Mawhin, Jean, Thompson, H. B.
openaire   +4 more sources

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

Mathematics, 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

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

, 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 ...
Winter, M, Juncheng Wei, Matthias Winter, Wei, J   +3 more
core   +1 more source

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, Wen Bin Liu, Jin Bo Ni, Tai Yong Chen   +3 more
openaire   +1 more source