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The periodic solution to biparabolic equation for the three-dimensional temporal-spatial cylinder with boundary conditions of Riquier type

Koroński J.

Fasciculi Mathematici

1999

Nr 30

71-79

In this paper we shaII construct the periodic solution for biparabolic f equation in cylindrical domain with boundary conditions of Riguier type. To construct the solution we shaII apply the convenient heat biparabolic potentials ! with unkow densities and biparabolic potential ofthe source function. To detern1ine these densities we shaII apply the suitable system of integral equations. The periodic solution is a sum of periodic boundary potentials and periodic biparabolic potential ofthe source function.