ANOTHER IMPROVEMENT ON OSCILLATION CRITERIA FOR FIRST-ORDER DELAY DIFFERENTIAL EQUATIONS

Julio G. Dix; Hongwu Wu

doi:10.11948/20220206

2023 Volume 13 Issue 3

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Julio G. Dix, Hongwu Wu. ANOTHER IMPROVEMENT ON OSCILLATION CRITERIA FOR FIRST-ORDER DELAY DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(3): 1421-1428. doi: 10.11948/20220206

Citation:

Julio G. Dix, Hongwu Wu. ANOTHER IMPROVEMENT ON OSCILLATION CRITERIA FOR FIRST-ORDER DELAY DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(3): 1421-1428. doi: 10.11948/20220206

ANOTHER IMPROVEMENT ON OSCILLATION CRITERIA FOR FIRST-ORDER DELAY DIFFERENTIAL EQUATIONS

Julio G. Dix^,,
Hongwu Wu

1.
Department of Mathematics, Texas State University, 601 University Dr., San Marcos, TX 78666, USA
2.
School of Mathematics, South China University of Technology, Guangzhou 5100640, China

Author Bio: Email: hwwu@scut.edu.cn(H. Wu)
Corresponding author: Email: jd01@txstate.edu(J. Dix)

Abstract

Abstract

This article studies the oscillation of solutions to the delay differential equation
$ x'(t)+p(t)x(\tau(t))=0. $
We improve the existing oscillation criteria, by lowering the existing bounds on $ \limsup\int_\tau^t p $ that provide sufficient conditions for the oscillation of all solutions.
- Oscillation of solutions /
- first-order delay differential equation /
- eventually positive solution
MSC: 34K11, 34C10

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References

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