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Sectoriality conditions and solvability of differential boundary operators of sturm-liouville type with multipoint-integral boundary conditions

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Abstract

In terms of boundary conditions we establish criteria for maximal dissipativity and maximal accretiveness (in particular, self-adjointness and maximal nonnegativity)for the operators mentioned in the title. We construct the resolvents of these operators.

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Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 4, 1997, pp. 26–31.

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Mil'o, O.Y., Storozh, O.G. Sectoriality conditions and solvability of differential boundary operators of sturm-liouville type with multipoint-integral boundary conditions. J Math Sci 96, 2961–2965 (1999). https://doi.org/10.1007/BF02169688

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  • DOI: https://doi.org/10.1007/BF02169688

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