Add to ORKGAbstract. We study evolution equations governed by an averaging operator on a directed tree, showing existence and uniqueness of solutions. In addition we find conditions of the initial condition that allows us to find the asymptotic decay rate of the solutions as t→∞. It turns out that this decay rate is not uniform, it strongly depends on how the initial condition goes to zero as one goes down in the tree. 1
Large time behavior of solutions to abstract differential equations is studied. The results give suf...
AbstractWe study the asymptotic behavior of linear evolution equations of the type ∂tg=Dg+Lg−λg, whe...
We study the asymptotic behavior of linear evolution equations of the type $\partial_t g = Dg + \LL ...
We study evolution equations governed by an averaging operator on a directed tree, showing existence...
While the choice of a norm in the space where an evolution problem is posed is ineffective as far as...
Numerical and theoretical investigations of species evolution in presence of extinction rules are re...
The basic ODE models in mathematical ecology take the form ẋi = xifi(x1,..., xn) (i = 1,..., n) (1)...
We study analytically a simple model of a self-organized critical evolution. The model considers bot...
International audienceWe study the asymptotic number of certain monotonically labeled increasing tre...
We investigate a so-called punctuated-equilibrium model of tree-like evolution containing extinction...
International audienceIn this paper we study the dynamic feedback stability for some simplified mode...
We study the existence and uniqueness of periodic solutions for evolution equations. First we analy...
We consider an abstract second order evolution equation with damping. The ``elastic'' term is repre...
In this paper we describe a new method to derive different type of decay estimates for solutions o...
Abstract. In this paper we give some estimates for nonlinear harmonic measures on trees. In particul...
Large time behavior of solutions to abstract differential equations is studied. The results give suf...
AbstractWe study the asymptotic behavior of linear evolution equations of the type ∂tg=Dg+Lg−λg, whe...
We study the asymptotic behavior of linear evolution equations of the type $\partial_t g = Dg + \LL ...
We study evolution equations governed by an averaging operator on a directed tree, showing existence...
While the choice of a norm in the space where an evolution problem is posed is ineffective as far as...
Numerical and theoretical investigations of species evolution in presence of extinction rules are re...
The basic ODE models in mathematical ecology take the form ẋi = xifi(x1,..., xn) (i = 1,..., n) (1)...
We study analytically a simple model of a self-organized critical evolution. The model considers bot...
International audienceWe study the asymptotic number of certain monotonically labeled increasing tre...
We investigate a so-called punctuated-equilibrium model of tree-like evolution containing extinction...
International audienceIn this paper we study the dynamic feedback stability for some simplified mode...
We study the existence and uniqueness of periodic solutions for evolution equations. First we analy...
We consider an abstract second order evolution equation with damping. The ``elastic'' term is repre...
In this paper we describe a new method to derive different type of decay estimates for solutions o...
Abstract. In this paper we give some estimates for nonlinear harmonic measures on trees. In particul...
Large time behavior of solutions to abstract differential equations is studied. The results give suf...
AbstractWe study the asymptotic behavior of linear evolution equations of the type ∂tg=Dg+Lg−λg, whe...
We study the asymptotic behavior of linear evolution equations of the type $\partial_t g = Dg + \LL ...