Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840295 | Nonlinear Analysis: Theory, Methods & Applications | 2013 | 16 Pages |
Abstract
We introduce measure functional differential equations with infinite delay and an axiomatically described phase space. We show how to transform these equations into generalized ordinary differential equations whose solutions take values in a suitable infinite-dimensional Banach space. Even in the special case of functional equations with finite delay, our result improves the existing one by imposing weaker conditions on the right-hand side.
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Authors
Antonín Slavík,