| Abstract: |
| We study a third-order nonlinear dynamic equation on arbitrary time scales, namely, nonempty closed subsets of the real numbers, which unify continuous and discrete analysis within a single framework. Our main focus is on the qualitative properties of nonoscillatory solutions and their quasi-derivatives, especially their asymptotic behavior. By employing improper integral criteria and applying fixed point theorems, we establish the existence of such solutions. |
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