Asymptotic relationship between solutions of ordinary and multivalued differential systems (Q1059767)

Let A(t) be an \(n\times n\) matrix whose elements are locally integrable on \(J=[0,\infty)\) and \(F: J\times R^ n\to \Omega (R^ n)\), where \(\Omega (R^ n)\) is the set of all nonempty compact subsets of \(R^ n\). Let \(\psi\) (t) be a positive function and \(\Delta\) (t) be an \(n\times n\) matrix on J. In this paper, the author studies the (\(\Delta\),\(\psi)\)- asymptotic equivalence, the (\(\Delta\),\(\psi)\)-asymptotic manifold and its perturbability of the following systems: (L) \(y'=A(t)y\) and (P) \(x'\in A(t)x+F(t,x)\) under various boundedness conditions on F.