On behavior at infinity of the solutions to equations with dominating mixed derivative

G. A. Shmyrev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: We prove a theorem on the polynomial asymptotics at infinity for the solutions to differential equations with dominating mixed derivative with constant coefficients.

Key words: dominating mixed derivative, polynomial asymptotics.

UDC: 517.953+517.583

Received: 26.02.2007

 English version: Siberian Advances in Mathematics, 2008, 18:3, 209–226

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