Boundary-value problems in a layer for evolutionary pseudo-differential equations with integral conditions

Keywords: pseudo-differential equations; boundary-value problem; Fourier transform; Schwartz space


Boundary-value problems for evolutionary pseudo-differential equations with an integral
condition are studied. Necessary and sufficient conditions of well-posedness are obtained for these problems in the Schwartz spaces. Existence of a well-posed boundary-value problem is proved for each evolutionary pseudo-differential equation. 


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Author Biographies

A. A. Makarov, V.N.Karazin Kharkiv National University

Alexander A. Makarov:       Scopus Author ID: 56814346100



D. A. Levkin, Kharkiv Petro Vasylenko National Technical University of Agriculture

ResearcherID:  I-3952-2018



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How to Cite
Makarov, A., & Levkin, D. (2018). Boundary-value problems in a layer for evolutionary pseudo-differential equations with integral conditions. Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics, 87, 61-68.