STABILIZATION OF SOLUTIONS TO THE CAUCHY PROBLEM FOR FRACTIONAL DIFFUSION-WAVE EQUATION

摘要

Problems on the asymptotic behavior of solutions to the Cauchy problems for the fractional diffusion-wave equation for large values of time are examined. Sufficient conditions of stabilization in the class of rapidly growing functions and necessary and sufficient conditions of stabilization to zero in the case of asymptotically nonnegative initial functions are found.