不动点法研究不确定Volterra-Levin型方程和不确定时滞微分方程的稳定性

V. Roomi, Hamid Reza Ahmadi̇
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引用次数: 0

摘要

在这项工作中,将考虑四个不确定的Volterra-Levin型延迟微分方程。应用适当的收缩映射和不动点法,研究了方程的稳定性。将证明解是有界的,并且在附加条件下解趋于零。同时,给出了一类不确定微分方程解渐近稳定的一个充分必要条件。
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Stability of Uncertain Equations of Volterra-Levin type and an Uncertain Delay Differential Equation Via Fixed Point Method‎
‎In this work four uncertain delay differential equations of Volterra-Levin type will be considered‎. ‎Applying suitable contraction mapping and fixed point method‎, ‎the stability of the equations will be studied‎. ‎It will be shown that the solutions are bounded and‎, ‎with additional condition‎, ‎the solutions tend to zero‎. ‎Also‎, ‎a necessary and sufficient condition for the asymptotic stability of the solutions of an uncertain differential equation will be presented‎.
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