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Dergiler / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 9

A new general forward difference operator and some applications

Yaşar Bolat(Kastamonu Üniversitesi)0000-0002-7978-1078
Ömer Akın(TOBB EKONOMİ VE TEKNOLOJİ ÜNİVERSİTESİ)
Sayfa
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Yayın Tarihi
2018-12-28
DOI
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Also some examples are provided to illustrate our main results.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, the forward difference operator is defined in the most general form.
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Temel Bulgular & Veri:As an application we give some criteria on the behavior of solutions of some first-order difference equations involving this operator.
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Sonuç & Katkı:Also some examples are provided to illustrate our main results.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Difference equations · Generalized difference operator · Variable difference operator

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.

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Bu Makaleye Atıf Yap

Bolat, Y., Akın, Ö. (2018). A new general forward difference operator and some applications. Turkish Journal of Mathematics and Computer Science, Volume: 9. https://ajindex.com/articles/1324944

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Kaynakça (19)

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