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A Differential Boundary Operator of the Sturm–Liouville Type on a Semiaxis with Two-Point Integral Boundary Conditions

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Abstract

We prove that a differential boundary operator of the Sturm–Liouville type on a semiaxis with two-point integral boundary conditions that acts in the Hilbert space L 2(0, ∞) is closed and densely defined. The adjoint operator is constructed. We also establish criteria for the maximal dissipativity and maximal accretivity of this operator.

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Authors and Affiliations

  1. Lviv University, Lviv

    O. Ya. Myl'o & O. H. Storozh

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  1. O. Ya. Myl'o
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  2. O. H. Storozh
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Myl'o, O.Y., Storozh, O.H. A Differential Boundary Operator of the Sturm–Liouville Type on a Semiaxis with Two-Point Integral Boundary Conditions. Ukrainian Mathematical Journal 54, 1794–1801 (2002). https://doi.org/10.1023/A:1024040324109

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  • DOI: https://doi.org/10.1023/A:1024040324109

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