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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 5

Kamenev-type oscillation criteria for second order matrix di erential systems with damping

Yasemin BAŞCI
Sayfa
1248–1267
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The results improve and generalize those given in some previous papers.This paper is dedicated to the memory of Professor Aydn Tiryaki (June 1956-May 2016).

📌 3 Maddede Bu Makale

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Amaç & Hipotez:By using the positive linear functional, including the generalized averaging technique, some new Kamenev-type oscillation criteria are established for the second order matrix dierential system (r(t)P(t)ψ(X(t))K(X0(t)))0 + p(t)R(t)ψ(X(t))K(X0(t)) +Q(t)F(X0(t))G(X(t)) = 0.
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Temel Bulgular & Veri:By using the positive linear functional, including the generalized averaging technique, some new Kamenev-type oscillation criteria are established for the second order matrix dierential system (r(t)P(t)ψ(X(t))K(X0(t)))0 + p(t)R(t)ψ(X(t))K(X0(t)) +Q(t)F(X0(t))G(X(t)) = 0.
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Sonuç & Katkı:The results improve and generalize those given in some previous papers.This paper is dedicated to the memory of Professor Aydn Tiryaki (June 1956-May 2016).
🔬Tür:Araştırma Makalesi
📍Kapsam:2016 Verileri
⚙️Değişkenler:Alan Parametreleri

Abstract

By using the positive linear functional, including the generalized averaging technique, some new Kamenev-type oscillation criteria are established for the second order matrix dierential system (r(t)P(t)ψ(X(t))K(X0(t)))0 + p(t)R(t)ψ(X(t))K(X0(t)) +Q(t)F(X0(t))G(X(t)) = 0. The results improve and generalize those given in some previous papers.This paper is dedicated to the memory of Professor Aydn Tiryaki (June 1956-May 2016).

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Bu Makaleye Atıf Yap

BAŞCI, Y. (2022). Kamenev-type oscillation criteria for second order matrix di erential systems with damping. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 5, 1248–1267. https://ajindex.com/articles/529892

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Kaynakça (18)

  1. Baker, J.W. Oscillation theorems for a second-order damped nonlinear di erential equation, SIAM J. Appl. Math. 25, 37-40, 1973.
  2. Butler, G.J. The oscillatory behavior of a second-order nonlinear di erential equation with damping, J. Math. Anal. Appl. 57, 273-289, 1977.
  3. Butler, G.J., Erbe, L.H. Oscillation results for self-adjoint di erential systems, J. Math. Anal. Appl. 115, 470-481, 1986.
  4. Erbe, L.E., Kong, Q., Ruan, S. Kamenev-type theorems for second-order matrix di erential systems, Proc. Amer. Math. Soc. 117, 957-962, 1993.
  5. Etgen, G.J., Pawlowski, J.F. Oscillation criteria for second-order self-adjoint matrix di er-ential systems, Paci c J. Math. 66, 99-110, 1976.
  6. Grace, S.R. Oscillation theorems for second-order nonlinear di erential equations with damping, Math. Nachr. 141, 117-127,1989.
  7. Grace, S.R. Oscillation criteria for second-order nonlinear di erential equations with damp-ing, J. Austral. Math. Soc. Ser. A, 49, 43-54, 1990.
  8. Grace, S.R., Lalli, B.S. Integral averaging technique for the oscillation of second-order non-linear di erential equations, J. Math. Anal. Appl. 149, 277-311, 1990.
  9. Grace, S.R., Lalli, B.S., Yeh, C.C. Oscillation theorems for nonlinear second-order di er-ential equations with a nonlinear damping term, SIAM J. Math. Anal. 15, 1082-1093, 1984.
  10. Hartman, P. On nonoscillatory linear di erential equations of second-order, Amer. J. Math. 74, 389-400, 1952.
  11. Kamenev, I.V. An integral criterion for oscillation of linear di erential equations, Mat. Zametki, 23, 249-251, 1978.
  12. Kong, Q. Interval criteria for oscillation of second-order linear ordinary di erential equa-tions, J. Math. Anal. Appl. 229, 258-270, 1999.
  13. Li, H.J. Oscillation criteria for second-order linear di erential equations, J. Math. Anal. Appl. 194, 217-234, 1995.
  14. Li, W.T. Oscillation of certain second-order nonlinear di erential equations, J. Math. Anal. Appl. 217, 1-14, 1998.
  15. Li, W.T., Agarwal,R.P. Interval oscillation criteria related to integral averaging technique for certain nonlinear di erential equations, J. Math. Anal. Appl. 245, 171-188, 2000.
  16. Li, W.T., Agarwal, R.P. Interval oscillation criteria for second-order nonlinear equations with damping, Computers Math. Appl. 40, 217-230, 2000.
  17. Meng, F., Wang, J., Zheng, Z. A note on Kamenev-type theorem for second-order matrix di erential systems, Proc. Amer. Math. Soc. 126, 391-395, 1998.
  18. Parhi, N., Praharaj, P. Oscillation of linear second order matrix di erential equations, J. Math. Anal. Appl. 221, 287-