TY CONF TI THE CAUCHY PROBLEM FOR A LINEAR DIFFERENTIAL EQUATION WITH A SCALAR PRODUCT ON THE RIGHT SIDE KW Cauchy problem KW differential equation KW scalar product KW solution JO OPERATOR EQUATIONS AND SOME RELATED ISSUES IN APPLIED MATHEMATICS AU Uskov, V.I. AU Chekanina, O.Y. PY 2026 PB FSBE Institution of Higher Education Voronezh State University of Forestry and Technologies named after G.F. Morozov