<p><i>A ultrahyperbolic equation, which is a generalization of Klein–Gordon–Fock equation, is considered in a Euclidean space. The behavior of solutions at points tending to infinity along timelike directions is studied. The question of existence of solutions possessing given asymptotic properties at infinity is discussed. Bibliography:</i> 10 <i>titles</i>.</p>

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ASYMPTOTIC PROPERTIES OF SOLUTIONS OF A CERTAIN ULTRAHYPERBOLIC EQUATION

  • M. N. Demchenko

摘要

A ultrahyperbolic equation, which is a generalization of Klein–Gordon–Fock equation, is considered in a Euclidean space. The behavior of solutions at points tending to infinity along timelike directions is studied. The question of existence of solutions possessing given asymptotic properties at infinity is discussed. Bibliography: 10 titles.