Abstract
A retarded functional differential equation (RFDE) consists of a rule to extend the “initial” condition. Starting from a given function defined on [—h, 0] one obtains, by solving the equation, a function defined on [—h,ω), with ω = ∞under mild conditions on the right hand side (such that blow up of solutions in finite time can be excluded).
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© 1995 Springer-Verlag New York, Inc.
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Diekmann, O., Verduyn Lunel, S.M., van Gils, S.A., Walther, HO. (1995). The shift semigroup. In: Delay Equations. Applied Mathematical Sciences, vol 110. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4206-2_3
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DOI: https://doi.org/10.1007/978-1-4612-4206-2_3
Publisher Name: Springer, New York, NY
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