Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations
© Rontó and Šremr. 2005
Received: 27 August 2003
Published: 11 July 2005
We establish optimal, in a sense, unique solvability conditions of the Cauchy problem for a wide class of linear functional differential equations in a Banach space with a solid wedge. The conditions are formulated in terms of certain abstract functional differential inequalities.