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Original Research

JPAS. 2019; 16(1): 66-70


Asymptotic Stability of Two Classes of Second Order Nonlinear Neutral Delay Differential Equations with Variable Delays

Alhaji Tahir, H. Habib.



Abstract
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Extensions of two well known existing results for solutions of second order nonlinear neutral delay differential equations with variable delay by modifying some constraint conditions are considered in this study. A new method is developed for the solutions of the modified equations considering fixed point approach with two auxiliary functions on a contraction condition. It is found that new criteria for asymptotic stability are established and some stability properties of the modified equations are also obtained.

Key words: Asymptotic Stability, Neutral Delay, Stability Properties





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010203040506070809101112
2025

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