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On Global Classical Solutions of Hyperbolic Differential-Difference Equations
Doklady Mathematics ( IF 0.6 ) Pub Date : 2020-03-01 , DOI: 10.1134/s1064562420020246 N. V. Zaitseva
Doklady Mathematics ( IF 0.6 ) Pub Date : 2020-03-01 , DOI: 10.1134/s1064562420020246 N. V. Zaitseva
A one-parameter family of global solutions of a two-dimensional hyperbolic differential-difference equation with an operator acting with respect to a space variable is constructed. A theorem is proved stating that the resulting solutions are classical for all parameter values if the symbol of the difference operator of the equation has a positive real part. Classes of equations for which this condition is satisfied are given.
中文翻译:
关于双曲微分方程的全局经典解
构造了一个二维双曲微分方程的全局解的单参数族,其中算子作用于空间变量。证明了一个定理,即如果方程的差分算子的符号具有正实部,则所得解对于所有参数值都是经典的。给出了满足该条件的方程组。
更新日期:2020-03-01
中文翻译:
关于双曲微分方程的全局经典解
构造了一个二维双曲微分方程的全局解的单参数族,其中算子作用于空间变量。证明了一个定理,即如果方程的差分算子的符号具有正实部,则所得解对于所有参数值都是经典的。给出了满足该条件的方程组。