SHARP ASYMPTOTIC RESULTS FOR THIRD-ORDER LINEAR DELAY DIFFERENTIAL EQUATIONS

John R. Graef; Irena Jadlovská; Ercan Tunç

doi:10.11948/20200417

2021 Volume 11 Issue 5

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John R. Graef, Irena Jadlovská, Ercan Tunç. SHARP ASYMPTOTIC RESULTS FOR THIRD-ORDER LINEAR DELAY DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2021, 11(5): 2459-2472. doi: 10.11948/20200417

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John R. Graef, Irena Jadlovská, Ercan Tunç. SHARP ASYMPTOTIC RESULTS FOR THIRD-ORDER LINEAR DELAY DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2021, 11(5): 2459-2472. doi: 10.11948/20200417

SHARP ASYMPTOTIC RESULTS FOR THIRD-ORDER LINEAR DELAY DIFFERENTIAL EQUATIONS

1.
Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA
2.
Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Kosice, Letna 9, 042 00 Kosice, Slovakia and Mathematical Institute, Slovak Academy of Sciences, Gresakova 6, 040 01 Kosice, Slovakia
3.
Department of Mathematics, Faculty of Arts and Sciences, Tokat Gaziosmanpaşa University, 60240, Tokat, Turkey

Corresponding author: Email: John-Graef@utc.edu(J. R. Graef)

Abstract

Abstract

In the paper, the authors propose an effective Kneser-type oscillation test for Property A for linear third-order delay differential equations that ensures that any nonoscillatory solution converges to zero asymptotically. The result is sharp when applied to Euler-type delay differential equation and improves all existing results reported in the literature.
- Third-order differential equation /
- delay /
- almost oscillation /
- oscillation /
- Property A
MSC: 34C10, 34K11

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References

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