We study a nonlocal Cauchy problem for a class of quasi-linear partial neutral functional differential equations with unbounded delay described in the form d dt (x(t) + F (t, xt)) = Ax(t) + G(t, xt), where A is the infinitesimal generator of a strongly continuous semigroup of linear operators on a Banach space X and F, G are appropriate continuous… (More)
In this paper we study the existence of mild and classical solutions for a second-order abstract Cauchy problem with nonlocal conditions.
Human T cell leukemia virus type 1 (HTLV-1) is the etiologic agent of Adult T cell Leukemia (ATL) and the neurological disorder HTLV-1-associated myelopathy/tropical spastic paraparesis (HAM/TSP). Although the majority of HTLV-1-infected individuals remain asymptomatic carriers (AC) during their lifetime, 2-5% will develop either ATL or HAM/TSP, but never… (More)
To improve the interaction of people with virtually generated environments we need first to break the barriers that prevent the user from getting an experience as close to reality as possible. The main problem is to give the user the sensation that his/her presence affects the virtual world and then to let the user perceive that the actions he/she takes on… (More)
We prove the existence of a periodic solution for a partial neutral functional differential equation with delay, using a Massera type criterion. October, 2002 ICMC-USP
In this paper we study the existence of global solutions for a class of abstract functional differential equation with nonlocal conditions. An application is considered.
In this paper we study the existence of mild solutions for abstract partial functional differential equation with state-dependent delay.
In this paper we give some sufficient conditions, which ensure the existence of pseudo almost periodic solutions to some classes of non-autonomous first-order partial neutral functional-differential with unbounded delay.