On the Behaviors of Solutions of Linear Nonhomogeneous Mixed Type Differential Equations
Turkish Journal of Mathematics and Computer Science, cilt.18, sa.2, ss.319-331, 2026 (Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18 Sayı: 2
- Basım Tarihi: 2026
- Doi Numarası: 10.47000/tjmcs.1664948
- Dergi Adı: Turkish Journal of Mathematics and Computer Science
- Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.319-331
- Kocaeli Üniversitesi Adresli: Evet
Özet
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.