Teoria de semigrupos e aplicações a equações impulsivas com retardamento dependendo do estado / Semigroup theory and applications to impulsive differential equation with state-dependent delay

AUTOR(ES)
DATA DE PUBLICAÇÃO

2006

RESUMO

In this work we stablish the existence of mild solutions for an impulsive abstract functional differential equation with state-dependent delay described in the form x POT. PRIME(t) = Ax(t) + f(t;x IND. p(t, xt)), t BELONGSI = [0,a], x IND. 0=\varphi IS CONTAINEDB, DELTAx(t IND. i) = I IND.ii(x IND.i); i = 1, ...n, where A is the infinitesimal generator of a compact C IND. 0-semigroup of bounded linear operators (T(t))t . OU =0 defined on a Banach space X; the functions x IND. s: ( - INFINito, 0] SETA X, x IND. s(teta) , belongs to some space B described axiomatically; f : I X B setaX, rô: I X B SETA( - INFINITO, a], I IND. i: B SETAX, i=1, ...n , são funções apropriadas; 0

ASSUNTO(S)

teoria de semigrupos the abstract cauchy problem equações funcionais com retardo dependendo do estado impulsive differential equations equações impulsivas o problema de cauchy abstrato semigroup theory functional differential equations with state-dependent delay

ACESSO AO ARTIGO

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