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This paper is concerned with the distribution of zeros of solutions of first-order linear advanced dynamic equations. By introducing a class of sequences involving iterates of the argument, some estimates for the distances between consecutive zeros of solutions are obtained on arbitrary time scales. Our results improve those for differential equations, and provide new results on the distribution of zeros of solutions for arbitrary time scales. Some examples are given to illustrate our results.
Bulletin of the Malaysian Mathematical Sciences Society – Springer Journals
Published: Sep 25, 2015
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