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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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