一类超前型微分差分方程的有界解及其渐近性质

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The Bounded Solution of a Class of Differential-Difference Equation of Advanced Type and Its Asymptotic Behavior

摘要: 本文考虑具有扰动项的超前型微分差分方程,证明了当退化方程具有负指数阶的有界解且扰动项满足一定条件时,扰动方程也具有负指数阶的有界解.

Abstract: In this paper, we consider the differential-difference equation of advanced type with perturbation term. It is shown that if the bounded solution of the reduced equation has negative exponential order and the perturbation term f satisfies certain condition, then the bounded solution of the perturbation equation has negative exponential order.

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