Department of Mathematics, University of South Florida, Tampa, Florida 33620-5700 ; Department of Mathematics, University of South Florida, Tampa, Florida 33620-5700
Abstract:
Let be a real separable Banach space. The boundary value problem
is studied on the infinite interval Here, the closed and densely defined linear operator generates an evolution operator The function is measurable in its first variable, upper semicontinuous in its second and has weakly compact and convex values. Either is bounded and is compact for or is compact and is equicontinuous. The mapping is a bounded linear operator and is fixed. The nonresonance problem is solved by using Ma's fixed point theorem along with a recent result of Przeradzki which characterizes the compact sets in