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The Distribution of Zeros of Solutions of Advanced Dynamic Equations on Time Scales

The Distribution of Zeros of Solutions of Advanced Dynamic Equations on Time Scales 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Malaysian Mathematical Sciences Society Springer Journals

The Distribution of Zeros of Solutions of Advanced Dynamic Equations on Time Scales

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References (13)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Malaysian Mathematical Sciences Society and Universiti Sains Malaysia
Subject
Mathematics; Mathematics, general; Applications of Mathematics
ISSN
0126-6705
eISSN
2180-4206
DOI
10.1007/s40840-015-0238-6
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Bulletin of the Malaysian Mathematical Sciences SocietySpringer Journals

Published: Sep 25, 2015

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