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.
Fredholm's alternative for a class of almost periodic linear systems / M. Tarallo. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 32:6(2012), pp. 2301-2313. [10.3934/dcds.2012.32.2301]
Fredholm's alternative for a class of almost periodic linear systems
M. TaralloPrimo
2012
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.
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