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Applicable Analysis
An International Journal
Volume 90, 2011 - Issue 9
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Corrigendum

Corrigendum to ‘Existence of pseudo almost periodic solutions of functional differential equations with infinite delay’, Applicable Analysis, 88(12), December 2009, pp. 1713–1726

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Page 1451 | Received 28 Apr 2010, Accepted 15 Nov 2010, Published online: 19 Jul 2011
This article refers to:
Existence of pseudo almost periodic solutions of functional differential equations with infinite delay

As pointed out by Professor Khalil Ezzinbi, in Lemma 3.3 on p. 1720, the claim that the existence of a bounded solution on ℝ of Equation (11) implies that G has no eigenvalues with null real part, so there exists a bounded solution of Equation (11) on ℝ is false. One can easily construct many examples with matrix G having eigenvalues with null real parts and Equation (11) has a bounded solution on ℝ. We have been unable to overcome this difficulty in a meaningful way. It should be pointed out that if it furthermore requires that matrix G has no eigenvalues with null part, the conclusion of Lemma 3.3 is correct. Note that matrix G is already defined above, the requirement is unreasonable.

We are grateful to Prof. Khalil Ezzinbi for pointing out the mistake and apologize to the readers for these errors.

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