Local n times integrated C-Semigroups and Inhomogeneous Abstract cauchy problem
Qin Xi-mei · Journal of Fuyang Teachers College · 2010
Motivated by solving the ill-posed Cauchy problem about strongly continuous semigroups,two generalizations of strongly continuous semigroups,integrated semigroups and C-semigroups have enriched semigroups theory and application.In order to get the effect on solving inhomogeneous Abstract Cauchy problem by integrated semigroups,three classes of inhomogeneous Abstract Cauchy problems and their definitions of solutions are given.On the base of definiton and properties of local n times integrated C-semigroups,the conditions of the existence and uniqueness about the inhomogeneous Abstract Cauchy problem solution are obtained.