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Periodic boundary-value problem for third-order linear functional differential equations

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Ukrainian Mathematical Journal Aims and scope

Abstract

For a linear functional differential equation of the third order {fx481-01}, we establish the theorems on existence and uniqueness of a solution satisfying the conditions {fx481-02}. Here, ℓ is a linear continuous operator transforming the space C([0, ω]; R) into the space L([0, ω]; R) and q ∈ L([0, ω]; R). The problem of nonnegativity of the solution of the analyzed boundary-value problem is also studied.

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Authors and Affiliations

  1. Mathematical Institute of the Academy of Sciences of Czech Republic, Brno, Czech Republic

    R. Hakl

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  1. R. Hakl
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 3, pp. 413–425, March, 2008.

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Hakl, R. Periodic boundary-value problem for third-order linear functional differential equations. Ukr Math J 60, 481–494 (2008). https://doi.org/10.1007/s11253-008-0069-9

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  • DOI: https://doi.org/10.1007/s11253-008-0069-9

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