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

Positive Solutions of Second-order Neutral Differential Equations with Distributed Deviating Arguments

Dağıtılmış Sapma Argümentlerine Sahip İkinci Mertebeden Nötral Diferensiyel Denklemlerin Pozitif Çözümleri

Bengü ÇINA
Mehmet Tamer ŞENEL
Pages
22–26
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Our resultsimprove and extend some existing results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study we shall obtain some sufficient conditions for the existenceof positive solutions of variable coefficient nonlinear second order neutraldifferential equation with distributed deviating arguments.
📊
Key Findings & Data:The example at theend of the article is given to illustrate the effectiveness of our results.
💡
Conclusion & Impact:Our resultsimprove and extend some existing results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

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

Özet

Bu çalışmada, dağıtılmış sapma argümentlere sahip değişken katsayılı lineer olmayan ikinci mertebeden nötral diferensiyel denklemlerin pozitif çözümlerinin varlığı için yeterli koşulları elde edeceğiz. Sonuçlarımızı kanıtlamanın ana aracı Banach daralma ilkesidir. Bunun için bir dönüşüm tanımlayıp daralma dönüşümü olduğunu göstereceğiz. Makalenin sonundaki örnek, sonuçlarımızın etkililiğini göstermek için verilmiştir. Sonuçlarımız bazı mevcut sonuçları iyileştirmekte ve genişletmektedir.

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Cite This Article

ÇINA, B., ŞENEL, M. T. (2022). Positive Solutions of Second-order Neutral Differential Equations with Distributed Deviating Arguments. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 34 - Sayı: 1, 22–26. https://ajindex.com/articles/503242

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References (9)

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