On a class of differential-algebraic equations with infinite delay
نویسندگان
چکیده
منابع مشابه
On a class of differential-algebraic equations with infinite delay
We study the set of T -periodic solutions of a class of T -periodically perturbed Differential-Algebraic Equations, allowing the perturbation to contain a distributed and possibly infinite delay. Under suitable assumptions, the perturbed equations are equivalent to Retarded Functional (Ordinary) Differential Equations on a manifold. Our study is based on known results about the latter class of ...
متن کاملCorrigendum to on a Class of Differential-algebraic Equations with Infinite Delay
This paper serves as a corrigendum to the paper titled On a class of differential-algebraic equations with infinite delay appearing in EJQTDE no. 81, 2011. We present here a corrected version of Lemma 5.5 and Corollary 5.7.
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The existence and uniqueness of a periodic solution of the system of differential equations d dt x(t) = A(t)x(t − ) are proved. In particular the Krasnoselskii’s fixed point theorem and the contraction mapping principle are used in the analysis. In addition, the notion of fundamental matrix solution coupled with Floquet theory is also employed.
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2011
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2011.1.81