%0 Journal Article %A Pogorui, A. A. %A Rodríguez-Dagnіno, Ramón М. %D 2017 %F zu2:26351 %J Journal of Mathematical Sciences %K Monogenic function, commutative algebra, partial differential equations %N 5 %P 624-632 %T Solutions of some partial differential equations with variable coefficients by properties of monogenic functions %U http://eprints.zu.edu.ua/26351/ %V 220 %X We study some partial differential equations, by using the properties of Gateaux differen- tiable functions on a commutative algebra. It is proved that components of differentiable functions satisfy some partial differential equations with coefficients related to properties of the bases of subspaces of the corresponding algebra