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Multipoint problems for degenerate abstract differential equations

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Abstract

Multipoint boundary value problems for degenerate differential-operator equations of arbitrary order are studied. Several conditions for the separability in Banach-valued L p -spaces are given. Sharp estimates for the resolvent of the corresponding differential operator are obtained. In particular, the sectoriality of this operator is established. As applications, the boundary value problems for degenerate quasielliptic partial differential equations and infinite systems of differential equations on cylindrical domain are studied.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL, 32901, USA

    R. P. Agarwal

  2. Department of Mathematics Akfirat, Tuzla, Okan University, 34959, Istanbul, Turkey

    V. B. Shakhmurov

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  1. R. P. Agarwal
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  2. V. B. Shakhmurov
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Correspondence to R. P. Agarwal.

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Agarwal, R.P., Shakhmurov, V.B. Multipoint problems for degenerate abstract differential equations. Acta Math Hung 123, 65–89 (2009). https://doi.org/10.1007/s10474-008-8060-3

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