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The theory of monotone iterative methods developed in the monographs [3, 4] is based on differential inequalities.
We show that methods of classical Mourre theory based on differential inequalities and on the generator of dilation cannot apply to the aforementioned Schrödinger operators.
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Furthermore, an H∞ optimization scheme based on differential evolution (DE) algorithm and linear matrix inequalities (LMIs) is introduced to design appropriate parameters of the sliding surface, which guarantees the constraint requirements of active suspension systems.
Mathematical models based on differential equations have proved very useful.
Thus, interaction based on differential treatment is unlikely.
Based on a differential inequality and linear matrix inequality (LMI) technology, novel sufficient conditions for the exponential anti-synchronization are obtained in terms of line matrix inequalities.
The analysis is based on a differential inequality.
Two different types of results on differential inequalities are taken into consideration in [1, 2].
In Section 3, we first give two comparison lemmas on differential inequalities.
We first give two Razumikhin-type comparison lemmas on differential inequalities.
Our method depends on differential inequality technique and Lyapunov functional.
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