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On the Well-Posedness of a Two-Point Boundary-Value Problem for a System with Pseudodifferential Operators

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Abstract

We investigate the problem of the well-posedness of a boundary-value problem for a system of pseudodifferential equations of arbitrary order with nonlocal conditions. The equation and boundary conditions contain pseudodifferential operators whose symbols are defined and continuous in a certain domain H ⊂ ℝ mσ . A criterion for the existence and uniqueness of solutions and for the continuous dependence of the solution on the boundary function is established.

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Authors and Affiliations

  1. University of Dschang, Cameroon

    E. Kengne

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  1. E. Kengne
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Published in Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 8, pp. 1131 – 1136, August, 2005.

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Kengne, E. On the Well-Posedness of a Two-Point Boundary-Value Problem for a System with Pseudodifferential Operators. Ukr Math J 57, 1334–1340 (2005). https://doi.org/10.1007/s11253-005-0265-9

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  • DOI: https://doi.org/10.1007/s11253-005-0265-9

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