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Dergiler / 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
Sayfa
22–26
Yayın Tarihi
2018-04-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Our results improve and extend some existing results.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri:The example at the end of the article is given to illustrate the effectiveness of our results.
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Sonuç & Katkı:Our results improve and extend some existing results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (10)

  1. A. Yang, Z. Zhang and W. Ge, Existence of nonoscillatory solutions of second-order nonlinear neutral differential equations, Indian J. Pure Appl. Math. 39(3) (2008), 227-235.
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  3. T. Candan, Existence of Nonoscillatory Solutions of Higher Order Neutral Differential Equations, Filomat 30:8 (2016) 2147-2153.
  4. T. Candan and R. S Dahiya, Existence of nonoscillatory solutionsof higher order neutral differential equations with distributeddeviating arguments, Math. Slovaca. 63(1) (2013) 183-190.
  5. T. Candan, Nonoscillatory solutions of higher order differential and delay differential equations with forcing term. Appl. Math. Lett. 39 (2015), 67-72.
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  8. L. H. Erbe, Q. Kong and B. G. Zhang, Oscillation Theory for Functional Differential Equations, Marcel Dekker, Inc., New York, (1995).
  9. R. P. Agarwal, S. R. Grace and D. O'Regan, Oscillation Theory for Difference and Functional Differential Equations Oscillation Theory for Difference and Functional Differential Equations, Kluwer Academic Publishers, (2000).
  10. Y. Yu, H. Wang, Nonoscillatory Solutions of Second Order Nonlinear Neutral Delay Equations, J. Math. Anal. Appl. 311(2005) 445-456.