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Nonlinear delay equations with nonautonomous past

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  • Inspired by a biological model on genetic repression proposed by P. Jacob and J. Monod, we introduce a new class of delay equations with nonautonomous past and nonlinear delay operator. With the aid of some new techniques from functional analysis we prove that these equations, which cover the biological model, are well--posed.
    Mathematics Subject Classification: Primary: 34G20, 47A10; Secondary: 47D06, 47H20, 47N60.


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