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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 18 Issue: 2

On the Behaviors of Solutions of Linear Nonhomogeneous Mixed Type Differential Equations

Ali Fuat Yeniçerioğlu(KOCAELİ ÜNİVERSİTESİ, EĞİTİM FAKÜLTESİ)0000-0002-1063-0538
Pages
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Publication Date
2026-06-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We also obtain useful lemmas that give sufficient conditions for the existence of the roots of the characteristic equation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper deals with the behaviors of solutions for nonhomogeneous linear mixed-type (delay and advance) differential equations.
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Key Findings & Data:We present three examples to illustrate the hypotheses of these results.
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Conclusion & Impact:We also obtain useful lemmas that give sufficient conditions for the existence of the roots of the characteristic equation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Mixed differential equation · characteristic equation · root

Abstract

This paper deals with the behaviors of solutions for nonhomogeneous linear mixed-type (delay and advance) differential equations. In this study, an asymptotic result and a useful exponential estimate for the solutions are established. Additionally, stability criteria for the homogeneous equation are also obtained. We obtained these results using a real root (with a suitable property) of the characteristic equation. We present three examples to illustrate the hypotheses of these results. We also obtain useful lemmas that give sufficient conditions for the existence of the roots of the characteristic equation.

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Cite This Article

Yeniçerioğlu, A. F. (2026). On the Behaviors of Solutions of Linear Nonhomogeneous Mixed Type Differential Equations. Turkish Journal of Mathematics and Computer Science, Volume: 18 Issue: 2. https://doi.org/10.47000/tjmcs.1664948

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