New Oscillation Results for Class of Third Order Neutral Delay Differential Equations with Distributed Deviating Arguments

1
O. Moaaz
O. Moaaz
2
E. M. Elabbasy
E. M. Elabbasy
1 Mansoura university

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The purpose of this paper is to obtain the sufficient conditions which insure that solution of class of third order neutral delay differential equation is oscillatory or tended to zero. The results of this study basically generalize and improve the previous results. Examples given in the study to clarify the new results.

17 Cites in Articles

References

  1. R Agarwal,A Aktas,Tiryaki (2009). On oscillation criteria for third order nonlinear delay differential equations.
  2. M Aktas,A Tiryaki,A Zafer (2010). Oscillation criteria for third-order nonlinear functional differential equations.
  3. B Baculikova,J Dzurina (2010). On the asymptotic behavior of a class of third order nonlinear neutral differential equations.
  4. B Baculíková,J Džurina (2010). Oscillation of third-order neutral differential equations.
  5. T Candan,R Dahiya (2005). Functional Differential Equations of Third Order.
  6. Jozef Dzurina (1996). Asymptotic properties of the third order delay differential equations.
  7. Jozef Džurina,Renáta Kotorová (2009). Comparison theorems for the third order trinomial differential equations with delay argument.
  8. Elmetwally Elabbasy,T Hassan,O Moaaz (2012). Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments.
  9. E Elabbasy,T Hassan (2008). Interval oscillation for second order sublinear differential equations with a damping term.
  10. E Elabbasy,T Hassan (2010). Oscillation of third order nonlinear functional differential equations.
  11. M El-Sheikh,R Sallam,N Mohamady (2013). On the oscillation of third order neutral delay differential equations.
  12. L Erbe,Q Kong,B Zhang (1995). Oscillation Theory for Functional Differential Equations.
  13. J Graef,R Savithri,E Thandapanii (2002). Oscillatory properties of third order neutral delay differential equations.
  14. Jack Hale,Sjoerd Lunel (1993). Functional differential equations: Basic theory.
  15. G Ladde,V,B Zhang (1987). Oscillation Theory of Differential Equations With Deviating Arguments.
  16. G Ch,Philos (1981). On the nonoscillatory solutions tending to zero at _ to differential equations with positive delays.
  17. E Thandapani,S Tamilvanan,E (2012). Oscillation of Third Order Half Linear Neutral Delay Differential Equations.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

O. Moaaz. 2015. \u201cNew Oscillation Results for Class of Third Order Neutral Delay Differential Equations with Distributed Deviating Arguments\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F9): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 31A35
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v1.2

Issue date

December 12, 2015

Language

English

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The purpose of this paper is to obtain the sufficient conditions which insure that solution of class of third order neutral delay differential equation is oscillatory or tended to zero. The results of this study basically generalize and improve the previous results. Examples given in the study to clarify the new results.

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New Oscillation Results for Class of Third Order Neutral Delay Differential Equations with Distributed Deviating Arguments

E. M. Elabbasy
E. M. Elabbasy
O. Moaaz
O. Moaaz Mansoura university

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