Fredholm's alternative for a class of almost periodic linear systems
Massimo Tarallo - Università degli Studi di Milano, Via C. Saldini 50, Milano, I–20133, Italy (email)
Abstract: A Fredholm alternative is proposed for linear almost periodic equations which satisfy the Favard separation condition. The alternative is then tested in the special case, where all the solutions of the homogeneous part of the equation are bounded.
Keywords: Almost periodic differential equations, Fredholm's alternative, bounded solutions, Favard condition.
Received: March 2011; Revised: May 2011; Published: February 2012.
2013 IF (1 year).923