Dergiler / Cumhuriyet Science Journal / 2021 / Cilt: 42 Sayı: 2

Existence of nonoscillatory solutions of second-order neutral differential equations

Sayfa
327–332
Yayın Tarihi
2021-06-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Our results improve and extend some existing results.

📌 3 Maddede Bu Makale

🎯
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:For some different cases of the range of p(t) by using Banach contraction principle we will give some sufficient conditions for the nonoscillatory solutions of second-order neutral differential equation.
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Sonuç & Katkı:Our results improve and extend some existing results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Nonoscillatory solutions · Fix point · Second-order

Abstract

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. For some different cases of the range of p(t) by using Banach contraction principle we will give some sufficient conditions for the nonoscillatory solutions of second-order neutral differential equation. With this purpose we will use fixpoint theorem. At the end of the research, there is an example that meets the conditions we have given. Our results improve and extend some existing results.

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Bu Makaleye Atıf Yap

SENEL, M. T., ÇINA, B. (2021). Existence of nonoscillatory solutions of second-order neutral differential equations. Cumhuriyet Science Journal, Cilt: 42 Sayı: 2, 327–332. https://ajindex.com/articles/960306

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Kaynakça (15)

  1. Yang A., Zhang Z., Ge W., Existence of nonoscillatory solutions of second-order nonlinear neutral differential equations, Indian J. Pure Appl. Math., 39 (3) (2008)
  2. Candan T., and Dahiya R. S., Existence of nonoscillatory solutions of first and second order neutral differential equations with distributed deviating arguments, J. Franklin Inst., 3 (47) (2010) 1309-1316
  3. Candan T., Existence of Nonoscillatory Solutions of Higher Order Neutral Differential Equations, Filomat, 30 (8) (2016) 2147-2153
  4. Li T., Pintus N., Viglialoro G., Properties of solutions to porous medium problems with different sources and boundary conditions, Z. Angew. Math. Phys., 70 (3) (2019) 1-18
  5. Li T., Rogovchenko Yu. V., On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations, Appl. Math. Lett., 105 (2020) 1-7
  6. Candan T., Dahiya R. S., Existence of nonoscillatory solutions of higher order neutral differential equations with distributed deviating arguments, Math. Slovaca, 6 3(1) (2013) 183-190
  7. Candan T., Nonoscillatory solutions of higher order differential and delay differential equations with forcing term, Appl. Math. Lett., 3 9 (2015), 67-72
  8. Tian Y., Cai Y., Li T., Existence of nonoscillatory solutions to second-order nonlinear neutral difference equations, J. Nonlinear Sci. Appl., 8 (2015) 884-892
  9. Györi I., Ladas G., Oscillation Theory of Delay Differential Equations With Applications, Oxford: Clarendon Press, (1991)
  10. Erbe L. H., Kong Q., Zang B. G., Oscillation Theory for Functional Differential Equations, New York: Marcel Dekker, Inc., (1995)
  11. Agarwal R. P., Grace S. R., O'Regan D., Oscillation Theory for Difference and Functional Differential Equations Oscillation Theory for Difference and Functional Differential Equations, Kluwer Academic Publishers, (2000)
  12. Yu Y., Wang H., Nonoscillatory Solutions of Second Order Nonlinear Neutral Delay Equations, J.Math. Anal. Appl., 311(2005) 445-456
  13. Li T., Han Z., Sun S., Yang D., Existence of nonoscillatory solutions to second-order neutral delay dynamic equations on time scales, Adv. Difference Equ., 2009 (2009) 562329
  14. Agarval R. P., Bohner M., Li T., Zang C., A new approach in the study of oscillatory behavior of even-order neutral delay differential equations, Appl. Math. Comput., 225 (2013) 787-794
  15. Džurina J., Grace S. R., Jadlovská I., Li T., Oscillation criteria for second-order Emden-Fowler delay differential e