A new general forward difference operator and some applications

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Turkish Journal of Mathematics and Computer Science
Volume:9
A new general forward difference operator and some applications

A new general forward difference operator and some applications

Authors : Yaşar BOLAT, Ömer AKIN

Pages : 117-124

View : 44 | Download : 12

Publication Date : 2018-12-28

Article Type : Research Paper

Abstract :In this study, the forward difference operator is defined in the most general form. As an application we give some criteria on the behavior of solutions of some first-order difference equations involving this operator. To do this, we use a lemma firstly constructed here that gives the relationship between ordinary difference operator and our new operator. Our main theorem improves the known results in the literature, since the potential function in this equation is of a wider function class, including potential functions in equivalent equations existing in the literature. Also some examples are provided to illustrate our main results.
Keywords : Difference equations, Generalized difference operator, Variable difference operator, Oscillation, Oscillatory

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.