Generalized solutions of boundary value problems for the Helmholtz equation

V. I. Korzyuk^abc, G. Ch. Shushkevich<sup>acb

a</sup> Institute of Mathematics of the National Academy of Sciences of Belarus
^b Belarusian State University
^c Yanka Kupala State University of Grodno

Abstract: We prove the existence of generalized solutions of boundary value problems for the Helmholtz equation in Sobolev space. Averaging operators with variable step used in the proof.

UDC: 519.8

Received: 12.01.2016