Oscillation condition for first order linear dynamic equations on time scales

نویسندگان

چکیده

In this paper, we deal with the first-order dynamic equations withnonmonotone arguments\begin{equation*}y^{\Delta }(t)+\underset{i=1}{\overset{m}{\sum }}p_{i}(t)y\left( \tau_{i}(t)\right) =0,\text{ }t\in \lbrack t_{0},\infty )_{\mathbb{T}}\end{equation*}where $p_{i}\in C_{rd}\left( [t_{0},\infty )_{\mathbb{T}},%\mathbb{R}^{+}\right) ,$ $\tau _{i}\in )_{\mathbb{%T}},\mathbb{T}\right) $ and _{i}(t)\leq t,\ \lim_{t\rightarrow \infty}\tau _{i}(t)=\infty for $1\leq i\leq m$. Also, present a new sufficient condition theoscillation of delay on time scales. Finally, give anexample illustrating result.

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ژورنال

عنوان ژورنال: Malaya journal of matematik

سال: 2023

ISSN: ['2319-3786', '2321-5666']

DOI: https://doi.org/10.26637/mjm1103/002