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Journals / 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
Pages
1248–1267
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

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 Key Takeaways

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Objective & Hypothesis: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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Key Findings & Data: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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Conclusion & Impact: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).
🔬Design:Research Article
📍Scope:2016 Verileri
⚙️Variables:Domain Parameters

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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Cite This Article

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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