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The well-posedness of a nonlocal multipoint problem for a differential operator equation of second order

  • Vasyl V. Gorodetskyi , Olga V. Martynyuk EMAIL logo and Olesia V. Feduh
Published/Copyright: July 4, 2018
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Abstract

We establish the well-posedness of a nonlocal multipoint problem for a second-order evolution equation with respect to a time variable with an operator having a discrete spectrum. A nonlocal condition is considered to be satisfied in a weak sense in the space of formal Fourier series that are identified with continuous linear functionals (generalized elements) on some space connected with the operator.

MSC 2010: 34B10; 46B20

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Received: 2015-03-27
Revised: 2016-03-22
Accepted: 2016-07-05
Published Online: 2018-07-04
Published in Print: 2020-03-01

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