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Some Stability Results for Delayed Logistic and Mathieu Equations

Priyadharsini S., Venugopal R.


The stability of the delay system guaranteed by a certain condition, which is popularly known as argument principle . This paper presents a novel method of investigation of a stability of the time delayed Logistic and Mathieu equations. Method of steps is employed to analyze the stability. Also, it may be noted that the proposed method is not only easier to analyze, but also avoids tedious calculations. Moreover, there is no need of solving the complete system in order to analyze the stability which may become demanding particularly if nonlinearity existing. Some insightful illustrations are proposed to validate of the given


Logistic Equation, Mathieu Equation, Time-delay systems, Stability.

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