Opuscula Math. 42, no. 4 (2022), 549-560
https://doi.org/10.7494/OpMath.2022.42.4.549
Opuscula Mathematica
Oscillation of even order linear functional differential equations with mixed deviating arguments
Abstract. In the paper, we study oscillation and asymptotic properties for even order linear functional differential equations \[y^{(n)}(t)=p(t)y(\tau(t))\] with mixed deviating arguments, i.e. when both delayed and advanced parts of \(\tau(t)\) are significant. The presented results essentially improve existing ones.
Keywords: higher order differential equations, mixed argument, monotonic properties, oscillation.
Mathematics Subject Classification: 34K11, 34C10.
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- Blanka Baculikova
- Technical University of Košice, Faculty of Electrical Engineering and Informatics, Department of Mathematics, Letná 9, 042 00 Košice, Slovakia
- Communicated by Josef Diblík.
- Received: 2022-03-11.
- Revised: 2022-04-27.
- Accepted: 2022-05-12.
- Published online: 2022-06-30.
