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Dergiler / Proceedings of International Mathematical Sciences / 2023 / Volume: 5 Issue: 2

ON THE BEHAVIORS OF SOLUTIONS IN LINEAR NONHOMOGENEOUS DELAY DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS

Ali Fuat Yeniçerioğlu(KOCAELİ ÜNİVERSİTESİ, EĞİTİM FAKÜLTESİ)0000-0002-1063-0538
Cüneyt Yazıcı(KOCAELI UNIVERSITY)0000-0002-4535-510X
Sayfa
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Yayın Tarihi
2023-12-31
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Our results are obtained by the use of real roots of the corresponding characteristic equation.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper deals with the behaviors of solutions for linear nonhomogeneous delay differential equations.
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Temel Bulgular & Veri:In this study, a periodic solution, an asymptotic result and a useful exponential estimate of the solutions are established.
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Sonuç & Katkı:Our results are obtained by the use of real roots of the corresponding characteristic equation.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:DELAY DIFFERENTIAL EQUATION · PERIODIC COEFFICIENT · NONHOMOGENEOUS

Abstract

This paper deals with the behaviors of solutions for linear nonhomogeneous delay differential equations. In this study, a periodic solution, an asymptotic result and a useful exponential estimate of the solutions are established. Our results are obtained by the use of real roots of the corresponding characteristic equation.

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Bu Makaleye Atıf Yap

Yeniçerioğlu, A. F., Yazıcı, C. (2023). ON THE BEHAVIORS OF SOLUTIONS IN LINEAR NONHOMOGENEOUS DELAY DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS. Proceedings of International Mathematical Sciences, Volume: 5 Issue: 2. https://doi.org/10.47086/pims.1363924

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Kaynakça (11)

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  10. Ch.G. Philos, and I.K. Purnaras, Periodic first order linear neutral delay differential equations, Applied Mathematics and Computation, 117 (2001) 203-222.
  11. M. Farkas, Asymptotic Periodicity of Delay Differential Equations, Journal of Mathematical Analysis and Applications, 226 (1998) 150-165.