Investigation of the Asymptotic and Monotonic Properties of Solutions of Functional Differential Equations with Multiple Delays and a Damping Term
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.6545Keywords:
differential equations; oscillatory characteristics; deviating argument; damping term.Abstract
Our objective in this work is to establish new asymptotic and monotonic properties of second-order differential equations involving multiple delay terms and a damping component. These properties are instrumental in advancing the understanding of the qualitative behavior of their solutions. This study employs a refined comparison technique utilizing first-order differential equations. The resulting criteria broaden and enhance previously established findings in the literature. A natural progression and forthcoming challenge of this research is examining the oscillatory behavior and asymptotic characteristics of solutions for higher-order neutral delay differential equations, where the interplay between delay and neutral components becomes progressively intricate.
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Copyright (c) 2025 Sarah Aloraini, Ahmed S. Almohaimeed, Osama Moaaz
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