Open AccessSTABILIZATION OF GENERALIZED SOLUTION OF THE THIRD BOUNDARY PROBLEM FOR A PARABOLIC EQUATION
Author(s) -
О. П. Филатов
Publication year - 2014
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2014-20-3-93-96
Subject(s) - mathematics , mathematical analysis , function (biology) , zero (linguistics) , parabolic partial differential equation , boundary value problem , periodic boundary conditions , boundary (topology) , partial differential equation , evolutionary biology , philosophy , linguistics , biology
With increasing time generalized solution of the problem with time-periodic parameters tends to time periodic function if some parameters satisfy the positivity or non-negativity. If parameters are not periodic in time, then the solution converges to the solution of the same problem with zero initial function.