Abstract
In this paper, we consider two universal higher order dynamic equations with several delay functions. We will establish two oscillatory criteria of the first equation and a sufficient and necessary condition for the second equation with a nonoscillatory solution by employing fixed point theorem.
Highlights
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The field of time scales has a tremendous amount of theoretical value, such as differential equations and difference equations can both be consolidated within the theoretical framework of dynamics equations on time scales
Based on Theorem 3, we know that Equation (26) has a nonoscillatory solution
Summary
The field of time scales has a tremendous amount of theoretical value, such as differential equations and difference equations can both be consolidated within the theoretical framework of dynamics equations on time scales. In 2012, Sun, Yu and Xi [26] discussed the oscillatory and asymptotic behavior of the following higher order dynamic equation: 4.0/).
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