Results 11 to 20 of about 1,158 (197)

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.
Thomas Rogers
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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.Fil: Amster, Pablo ...
Haddad, Julián, Amster, Pablo Gustavo, Amster, Pablo, Haddad, Julián Eduardo   +3 more
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Indentical synchronization in complete networks of reaction-diffusion equations of FitzHugh-Nagumo

Ho Chi Minh City Open University Journal of Science - Engineering and Technology, 2018
Synchronization is a ubiquitous feature in many natural systems and nonlinear science. This paper studies the synchronization in complete network consisting of n nodes.
Phan Van Long Em
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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
Minhós, Feliz, Grossinho, Maria do Rosário, Santos, Ana Isabel   +2 more
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A note on a class of problems for a higher-order fully nonlinear equation under one-sided Nagumo-type condition [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2009
The purpose of this work is to establish existence and location results for the higher order fully nonlinear differential equation u⁽ⁿ⁾(t)=f(t,u(t),u′(t),…,u⁽ⁿ⁻¹⁾(t)), n≥2, with the boundary conditions u^{(i)}(a) = A, for i=0,⋯,n-3, u⁽ⁿ⁻¹⁾(a ...
Grossinho, Maria do Rosário, Minhós, F., Santos, Ana I., Santos, A.I., Grossinho, Maria R., Minhós, Feliz M.   +5 more
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Upper and Lower Solutions for the FitzHugh– Nagumo Type System of Equations

Моделирование и анализ информационных систем, 2018
We consider a moving front solution of a singularly perturbed FitzHugh–Nagumo type system of equations. The solution contains an internal transition layer, that is, a subdomain where a sharp change in the values of the functions describing the solution ...
Svetlana V. Bytsyura, Natalia T. Levashova   +1 more
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Image Restoration Based on Stochastic Resonance in a Parallel Array of Fitzhugh–Nagumo Neuron

Complexity, 2020
The poor denoising effect for noisy grayscale images with traditional processing methods would be obtained under strong noise condition, and some image details would be lost.
Huage Zhang, Jinfei Yu, Yumei Ma, Zhenkuan Pan, Jingjing Zhao   +4 more
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Start control and final observation problem for the Fitz Hugh–Nagumo system for the Dirichlet–Showalter–Sidorov condition

Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics", 2018
О.В. Гаврилова Южно-Уральский государственный университет, г. Челябинск, Российская Федерация E-mail: gavrilovaov@susu.ru. О.V. Gavrilova South Ural State University, Chelyabinsk, Russian Federation E-mail: gavrilovaov@susu.ruИсследуется стартовое ...
Гаврилова, О.В., Gavrilova, О.V.   +1 more
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Existence result for a third-order ODE with nonlinear boundary conditions in presence of a sign-type Nagumo control

Journal of Mathematical Analysis and Applications, 2005
In this work we provide an existence and location result for the third order nonlinear differential equation u′′′(t)=f(t,u(t),u′(t),u′′(t)) where f:[a,b]×R³→R is a continuous function, and two types of boundary conditions u(a)=A, φ(u′(b),u′′(b))=0,
Grossinho, Maria do Rosário, Santos, Ana I., Santos, A.I., Grossinho, M.R., Minhós, F.M., Grossinho, Maria R., Minhós, Feliz M.   +6 more
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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