Smooth Solutions of Hyperbolic Equations with Translation by an Arbitrary Vector in the Free Term

被引：10
作者：
Zaitseva, N. V. [1 ,2 ]
Muravnik, A. B. [2 ]
机构：
[1] Lomonosov Moscow State Univ, Moscow 119991, Russia
[2] RUDN Univ, Moscow 117198, Russia
来源：
DIFFERENTIAL EQUATIONS | 2023年 / 59卷 / 03期
关键词：
DIFFERENTIAL-DIFFERENCE EQUATIONS; CLASSICAL-SOLUTIONS;
D O I：
10.1134/S0012266123030072
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct three-parameter families of solutions of hyperbolic differential-differenceequations in a half-space with a general shift operator in the free term (or in a nonlocal operatorpotential). It is proved that the solutions obtained are classical if the real part of the symbol ofthe corresponding differential-difference operators is positive. Classes of equations for which theindicated condition is satisfied are given.
引用
收藏
页码：371 / 376
页数：6
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