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Journals / Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi / 2018 / Cilt: 34 - Sayı: 1

Positive solutions of second-order neutral differential equations with distributed deviating arguments

Bengü ÇINA
M. Tamer Şenel
Pages
22–26
Publication Date
2018-04-30
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Our results improve and extend some existing results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study we shall obtain some sufficient conditions for the existence of positive solutions of variable coefficient nonlinear second order neutral differential equation with distributed deviating arguments.
📊
Key Findings & Data:The example at the end of the article is given to illustrate the effectiveness of our results.
💡
Conclusion & Impact:Our results improve and extend some existing results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fixed point · Second-order · Distributed deviating argument

Özet

In this study we shall obtain some sufficient conditions for the existence of positive solutions of variable coefficient nonlinear second order neutral differential equation with distributed deviating arguments. The main tool for proving our results is the Banach contraction principle. For this reason, we define a conversion and we show that it's a contraction transformation. The example at the end of the article is given to illustrate the effectiveness of our results. Our results improve and extend some existing results.

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Cite This Article

ÇINA, B., Şenel, M. T. (2018). Positive solutions of second-order neutral differential equations with distributed deviating arguments. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi, Cilt: 34 - Sayı: 1, 22–26. https://ajindex.com/articles/253066

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References (10)

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