Fredholm's alternative for a class of almost periodic linear systems

Massimo Tarallo

doi:10.3934/dcds.2012.32.2301

Article Contents

2012, Volume 32, Issue 6: 2301-2313. Doi: 10.3934/dcds.2012.32.2301

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Fredholm's alternative for a class of almost periodic linear systems

Massimo Tarallo^1,

1.
Università degli Studi di Milano, Via C. Saldini 50, Milano, I–20133

Received: February 28, 2011

Revised: April 30, 2011

Published: May 2012

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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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Mathematics Subject Classification: Primary: 34A30; Secondary: 34C27.

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References

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