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Semigroups Generated by Ordinary Differential Operators in L 1(I)*

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Abstract

In this paper we give necessary and sufficient conditions for the existence of a C> 0-semigroup in L 1(I) (I real interval) generated by a second-order differential operator when suitable boundary conditions at the endpoints are imposed.

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Authors and Affiliations

  1. Department of Economic Sciences, University of Bari, Via C. Rosalba 53, I-70124, Bari, Italy

    Antonio Attalienti & Michele Campiti

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  1. Antonio Attalienti
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  2. Michele Campiti
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Attalienti, A., Campiti, M. Semigroups Generated by Ordinary Differential Operators in L 1(I)* . Positivity 8, 11–30 (2004). https://doi.org/10.1023/B:POST.0000023198.53340.35

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  • DOI: https://doi.org/10.1023/B:POST.0000023198.53340.35

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