Displaying similar documents to “An abstract existence result and its applications.”

On periodic solutions of systems of linear functional-differential equations

Ivan Kiguradze, Bedřich Půža (1997)

Archivum Mathematicum

Similarity:

This paper deals with the system of functional-differential equations d x ( t ) d t = p ( x ) ( t ) + q ( t ) , where p : C ω ( R n ) → L ω ( R n ) is a linear bounded operator, q ∈ L ω ( R n ) , ω > 0 and C ω ( R n ) and L ω ( R n ) are spaces of n -dimensional ω -periodic vector functions with continuous and integrable on [ 0 , ω ] components, respectively. Conditions which guarantee the existence of a unique ω -periodic solution and continuous dependence of that solution on the right hand side of the system considered are established.