Buscar
Mostrando ítems 31-40 de 68
Artículo
A nonlinear age-dependent model with spatial diffusion
(Elsevier, 2006-01-01)
The main goal of this paper is to study the existence and uniqueness of positive solution for a nonlinear age-dependent equation with spatial diffusion. For that, we mainly use properties of an eigenvalue problem related ...
Artículo
Some non-local population models with non-linear diffusion
(Elsevier, 2011)
In this paper we present some theoretical results concerning to a non-local elliptic equation with non-linear diffusion arising from population dynamics.
Artículo
Pullback permanence in a non-autonomous competitive Lotka-Volterra model
(Elsevier, 2003-05-01)
The goal of this work is to study in some detail the asymptotic behaviour of a non-autonomous Lotka-Volterra model, both in the conventional sense (as t → ∞) and in the “pullback” sense (starting a fixed initial condition ...
Artículo
Bifurcations in non-autonomous scalar equations
(Elsevier, 2006-02)
In a previous paper we introduced various definitions of stability and instability for non-autonomous differential equations, and applied these to investigate the bifurcations in some simple models. In this paper we ...
Artículo
Combining local and non-local terms in a nonlinear elliptic problem
(Wiley, 2012-03-30)
In this paper we study the existence, uniqueness, multiplicity and stability of positive solution of a non-linear elliptic problem that combines local and non-local terms taking the form of an integral in space. The proofs ...
Artículo
On the uniqueness of positive solution of an elliptic equation
(Elsevier, 2005-10)
This work deals with the uniqueness of positive solution for an elliptic equation whose nonlinearity satisfies an specific monotony property. In order to prove the main result, we employ a change of variable used in previous ...
Artículo
A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications
(Elsevier, 2016-02)
In this paper we give a sub-supersolution method for nonlinear elliptic singular systems with quadratic gradient whose model system is the following where Ω is a smooth bounded domain of RN (N≥3), β,μ≥0, 0<α,γ<1 and regular ...
Artículo
On a parabolic-elliptic chemotactic model with coupled boundary conditions
(Elsevier, 2010-10)
This paper deals with a nonlinear system of parabolic-elliptic type with a logistic source term and coupled boundary conditions related to pattern formation. We prove the existence of a unique positive global in time ...
Artículo
Existence and nonexistence of unbounded forward attractor for a class of non-autonomous reaction diffusion equations
(American Institute of Mathematical Sciences, 2007)
The goal of this work is to study the forward dynamics of positive solutions for the nonautonomous logistic equation ut − ∆u = λu − b(t)up, with p > 1, b(t) > 0, for all t ∈ R, limt→∞ b(t) = 0. While the pullback asymptotic ...
Artículo
Positive solutions of a system arising from angiogenesis
(De Gruyter, 2008-11)
We study a system of equations arising from angiogenesis which contains a nonregular term that vanishes below a certain threshold. This loss of regularity forces one to modify the usual methods of bifurcation theory. ...