Dergiler / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 3

Oscillation of a first order linear impulsive delay differential equation with continuous and piecewise constant arguments

Sayfa
601–613
Yayın Tarihi
2022-10-18
DOI
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Using a connection between impulsive delay differential equations and non-impulsive delay differential equations sufficient conditions for the oscillation of the solutions are obtained.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:A class of first order linear impulsive delay differential equation with continuous and piecewise constant arguments is studied.
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Temel Bulgular & Veri:A class of first order linear impulsive delay differential equation with continuous and piecewise constant arguments is studied.
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Sonuç & Katkı:Using a connection between impulsive delay differential equations and non-impulsive delay differential equations sufficient conditions for the oscillation of the solutions are obtained.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Oscillation · Delay · Piecewise constant argument

Abstract

A class of first order linear impulsive delay differential equation with continuous and piecewise constant arguments is studied. Using a connection between impulsive delay differential equations and non-impulsive delay differential equations sufficient conditions for the oscillation of the solutions are obtained.

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Bu Makaleye Atıf Yap

KARAKOÇ, F. (2022). Oscillation of a first order linear impulsive delay differential equation with continuous and piecewise constant arguments. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 3, 601–613. https://ajindex.com/articles/529886

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Kaynakça (15)

  1. Busenberg, S. and Cooke, K.L. Models of vertically transmitted diseases with sequential- continuous dynamics, In: Nonlinear Phenomena in Mathematical Sciences, V. Lakshmikantham (Ed.), Academic Press, 179-187, 1982.
  2. Dai, L. and Singh, M.C. On oscillatory motion of spring mass systems subject to piesewise constant forces, J. Sound Vib. 173, 217-233, 1994.
  3. Dai, L. and Singh, M.C. An analytical and numerical method for solving linear and nonlinear vibration problems, Int. J. Solids Struct. 34, 2709-2731, 1997.
  4. Cooke, K.L. and Wiener, J. Retarded dierential equations with piecewise constant delays, J. Math. Anal. Appl. 99, 265-297, 1984.
  5. Aftabizadeh, A.R. and Wiener, J. Oscillatory properties of fi rst order linear functional differential equations, Applicable Anal. 20, 165-187, 1985.
  6. Aftabizadeh, A.R., Wiener, J. and Ming Xu, J. Oscillatory and periodic solutions of delay differential equations with piecewise constant argument, Proc. of American Math. Soc. 99, 673-679, 1987.
  7. Shen, J.H. and Stavroulakis, I.P. Oscillatory and nonoscillatory delay equations with piece- wise constant argument, J. Math. Anal. Appl. 248, 385-401, 2000.
  8. Wiener, J. Generalized Solutions of Functional Differential Equations, World Scienti c, Singapore, 1994.
  9. Karakoç, F., Bereketoglu H. and Seyhan, G. Oscillatory and periodic solutions of impulsive differential equations with piecewise constant argument, Acta Appl. Math. 110, 499-510, 2010.
  10. Bereketoglu, H., Seyhan G. and Ogun, A. Advanced impulsive differential equations with piecewise constant arguments, Math. Model. Anal. 15, 175-187, 2010.
  11. Karakoç, F., Ogun Unal, A. and Bereketoglu, H. Oscillation of nonlinear impulsive differential equations with piecewise constant arguments, E. J. Qualitative Theory of Di. Equ. No. 49, 1-12, 2013.
  12. Gyori, I. and Ladas, G. Oscillation Theory of Delay Differential Equations, Oxford University Press, 1991.
  13. Akhmet, M. Nonlinear Hybrid Continuous/Discrete-Time Models, Atlantis Press, Springer, 2011.
  14. Gopalsamy, K., Gyori I. and Ladas, G. Oscillations of a class of delay equations with continuous and piecewise constant arguments, Funkcialaj Ekvacioj, 32, 395-406, 1989.
  15. Agarwal, R.P., Karakoç, F. and Zafer, A. A survey on oscillation of impulsive ordinary differential equations, Advances in Difference Equations, Volume 2010, Article ID 354841, 52 pages, doi:10.1155/2010/354841. Yan J. and Kou, C. Oscillation of solutions of impulsive delay differential equations, J. Math. Anal. Appl. 254, 358-3