Weak and strong solutions for differential equations in Banach spaces (Q1433756)

This paper is devoted to the existence of weak and strong solutions of the Cauchy problem \[ \dot x(t)= f(t,x(t)), \qquad x(0)= x_0, \] where \(f: [0,T]\times E\to E\) and \(E\) is a Banach space. To this end, the author uses a measure of weak (strong) noncompactness.