Integral Problem for a Partial Differential Equation of High Order in an Infinite Strip


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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

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