Asymptotic stability and integral inequalities for solutions of linear systems on Radon-Nikodým spaces
Asymptotic stability and integral inequalities for solutions of linear systems on Radon-Nikodým spaces
We consider the mild solution u f (•, 0) of a well-posed nonhomogeneous Cauchy problemon a Radon-Nikodým space X , where A(•) is a linear operator-valued function.Under certain additional conditions we will prove that if the homogeneous systemis exponentially stable, then for each function f belonging to the Sobolev space …