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Nonlocal Multipoint Problem with Multiple Spectrum for an Ordinary (2n)TH Order Differential Equation

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We study the spectral properties of a nonself-adjoint problem for a (2n )th order differentiation operator with nonlocal conditions obtained as perturbations of regular but not strongly regular conditions and generalizing the periodicity conditions. The cases of problems with regular and irregular (in Birkhoff’s sense) perturbed boundary conditions are analyzed. The system of root functions of the multipoint problem is constructed. We also establish sufficient conditions under which this system is complete and forms a Riesz basis under certain additional assumptions.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Fundamental Sciences, Lviv National Polytechnic University, Lviv, Ukraine

    Ya. O. Baranetskij & P. I. Kalenyuk

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  1. Ya. O. Baranetskij
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  2. P. I. Kalenyuk
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Correspondence to Ya. O. Baranetskij.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 60, No. 3, pp. 32–45, July–September, 2017.

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Baranetskij, Y.O., Kalenyuk, P.I. Nonlocal Multipoint Problem with Multiple Spectrum for an Ordinary (2n)TH Order Differential Equation. J Math Sci 246, 152–169 (2020). https://doi.org/10.1007/s10958-020-04727-y

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