The differential-symbol method of constructing the quasi-polynomial solutions of two-point problem

• Autorzy: Nytrebych Zinovii , Malanchuk Oksana

Identyfikatory

DOI

10.1515/dema-2019-0010

• Języki publikacji: EN

Abstrakty

EN

The solvability of the problem with local nonhomogeneous two-point in time conditions for a homogeneous PDE of the second order in time and infinite order in spatial variable in the case when the set of zeroes of the characteristic determinant is not empty and does not coincide with C is investigated. The existence of a solution of the problem in which the right-hand sides of the two-point conditions are quasi-polynomials is proved. We propose the differential-symbol method of constructing the solutions of the problem.

Słowa kluczowe

EN

two-point conditions; characteristic determinant of a problem; differential-symbol method; quasi-polynomial solutions

PL

warunki dwupunktowe; wyznacznik charakterystyczny; metoda różniczkowa; rozwiązania quasi-wielomianu

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2019
• Tom: Vol. 52, nr 1
• Strony: 88--96
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Nytrebych Zinovii

• Lviv Polytechnic National University, Lviv, Ukraine

autor

Malanchuk Oksana

• Danylo Halytsky Lviv National Medical University, Lviv, Ukraine

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).