Integral Problem for a Partial Differential Equation of High Order in an Infinite Strip
- Authors: Kalenyuk P.І.1,2, Nytrebych Z.М.1, Kuduk G.2, Symotyuk М.М.3
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Affiliations:
- Institute of Applied Mathematics and Fundamental Sciences, “L’vivs’ka Politekhnika” National University
- Rzeszów University of Technology
- Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
- Issue: Vol 231, No 4 (2018)
- Pages: 495-506
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241161
- DOI: https://doi.org/10.1007/s10958-018-3829-6
- ID: 241161
Cite item
Abstract
We establish conditions for the existence, in the scale of Sobolev spaces, of a unique solution to the problem for partial differential equations of high order with integral conditions in the form of moments. The solution of this problem is constructed with the help of Fourier transforms.
About the authors
P. І. Kalenyuk
Institute of Applied Mathematics and Fundamental Sciences, “L’vivs’ka Politekhnika” National University; Rzeszów University of Technology
Email: Jade.Santos@springer.com
Ukraine, Lviv; Rzeszów
Z. М. Nytrebych
Institute of Applied Mathematics and Fundamental Sciences, “L’vivs’ka Politekhnika” National University
Email: Jade.Santos@springer.com
Ukraine, Lviv
G. Kuduk
Rzeszów University of Technology
Email: Jade.Santos@springer.com
Poland, Rzeszów
М. М. Symotyuk
Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Lviv