Results 111 to 120 of about 1,584 (227)

Generalized result on the global existence of positive solutions for a parabolic reaction-diffusion model with an m × m diffusion matrix

open access: yesDemonstratio Mathematica
The aim of this work is to study the global existence in time of solutions for the tridiagonal system of reaction-diffusion by order mm. Our techniques of proof are based on compact semigroup methods and some L1{L}^{1}-estimates.
Barrouk Nabila, Abdelmalek Karima
doaj   +1 more source

Inertial manifolds in biological systems [PDF]

open access: yes, 2009
The focus of this thesis is biological systems whose dynamics present an interesting feature: only some dimensions drive the whole system. In our examples, the dynamics is expressed as ODEs, such that the ith equation depends on all the variables xi = f (
Iannelli, P, Iannelli, P.
core  

Perturbed functional and neutral functional evolution equations with infinite delay in Frechet spaces

open access: yesElectronic Journal of Differential Equations, 2008
This article shows sufficient conditions for the existence of mild solutions, on the positive half-line, for two classes of first-order functional and neutral functional perturbed differential evolution equations with infinite delay.
Mouffak Benchohra, Selma Baghli
doaj  

Existence of solutions to a nonlinear fractional diffusion equation with exponential growth

open access: yes
In this paper, we study a Cauchy problem for a space–time fractional diffusion equation with exponential nonlinearity. Based on the standard Lp-Lq estimates of strongly continuous semigroup generated by fractional Laplace operator, we investigate the ...
Bashir Ahmad   +7 more
core   +1 more source

Pointwise semigroup methods and stability of viscous shock waves

open access: yes, 1998
. Considered as rest points of ODE on L p, stationary viscous shock waves present a critical case for which standard semigroup methods do not su ce to determine stability.
Peter Howard, Kevin Zumbrun
core  

Markov selections and Feller properties of nonlinear diffusions

open access: yes
In this paper we study a family of nonlinear (conditional) expectations that can be understood as a diffusion with uncertain local characteristics. Here, the differential characteristics are prescribed by a set-valued function.
Criens, David, Niemann, Lars
core   +1 more source

Existence of solutions in the alpha-norm for partial differential equations of neutral type with finite delay

open access: yesElectronic Journal of Differential Equations, 2010
In this work, we prove results on the local existence of mild solution and global continuation in the alpha-norm for some class of partial neutral differential equations. We suppose that the linear part generates a compact analytic semigroup.
Khalil Ezzinbi   +2 more
doaj  

Nonlinear diffusion with the p-Laplacian in a Black-Scholes-type model

open access: yesElectronic Journal of Differential Equations, 2023
Peter Takac
doaj  

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