Differentiability of solutions with respect to parameters in neutral differential equations with state-dependent delays |
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| Authors: | Ferenc Hartung |
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| Affiliation: | Department of Mathematics and Computing, University of Veszprém, H-8201 Veszprém, PO Box 158, Hungary |
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| Abstract: | In this paper we consider a class of nonlinear neutral differential equations with state-dependent delays. We study well-posedness and continuous dependence issues and differentiability of the parameter map with respect to the initial function and other possibly infinite-dimensional parameters in a pointwise sense and also in the C- and W1,∞-norms. |
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| Keywords: | State-dependent delays Neutral differential equations Differentiability with respect to parameters |
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