一类滞后算子和带滞后算子的微分方程

ON THE CAUSAL OPERATOR AND THE DIFFERENTIAL EQUATION WITH THE CAUSAL OPERATOR

介绍了一种不同于时滞的滞后现象的数学模型——滞后算子,讨论了带有滞后算子的常微分方程和抛物型方程,给出了解的存在、唯一和正性的充分条件。

A mathematical model describing memory effects, the causal operator is introduced, the ordinary differential equation and the parabolic equation with the causal operator are discussed and sufficient conditions of existence, positiveness and uniqueness for their solutions are given.