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

Ali Fuat Yeniçerioğlu

doi:10.47000/tjmcs.1664948

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

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.

Keywords

References

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Details

Primary Language

English

Subjects

Ordinary Differential Equations, Difference Equations and Dynamical Systems

Journal Section

Research Article

Authors

Ali Fuat Yeniçerioğlu ^*
0000-0002-1063-0538
Türkiye

Publication Date

June 30, 2026

Submission Date

March 25, 2025

Acceptance Date

December 26, 2025

Published in Issue

Year 2026 Volume: 18 Number: 2

DOI

https://doi.org/10.47000/tjmcs.1664948

IZ

https://izlik.org/JA49XW78XC

Cite

RIS / Bibtex

APA

Yeniçerioğlu, A. F. (2026). On the Behaviors of Solutions of Linear Nonhomogeneous Mixed Type Differential Equations. Turkish Journal of Mathematics and Computer Science, 18(2), 319-331. https://doi.org/10.47000/tjmcs.1664948

AMA

1.Yeniçerioğlu AF. On the Behaviors of Solutions of Linear Nonhomogeneous Mixed Type Differential Equations. TJMCS. 2026;18(2):319-331. doi:10.47000/tjmcs.1664948

Chicago

Yeniçerioğlu, Ali Fuat. 2026. “On the Behaviors of Solutions of Linear Nonhomogeneous Mixed Type Differential Equations”. Turkish Journal of Mathematics and Computer Science 18 (2): 319-31. https://doi.org/10.47000/tjmcs.1664948.

EndNote

Yeniçerioğlu AF (June 1, 2026) On the Behaviors of Solutions of Linear Nonhomogeneous Mixed Type Differential Equations. Turkish Journal of Mathematics and Computer Science 18 2 319–331.

IEEE

[1]A. F. Yeniçerioğlu, “On the Behaviors of Solutions of Linear Nonhomogeneous Mixed Type Differential Equations”, TJMCS, vol. 18, no. 2, pp. 319–331, June 2026, doi: 10.47000/tjmcs.1664948.

ISNAD

Yeniçerioğlu, Ali Fuat. “On the Behaviors of Solutions of Linear Nonhomogeneous Mixed Type Differential Equations”. Turkish Journal of Mathematics and Computer Science 18/2 (June 1, 2026): 319-331. https://doi.org/10.47000/tjmcs.1664948.

JAMA

1.Yeniçerioğlu AF. On the Behaviors of Solutions of Linear Nonhomogeneous Mixed Type Differential Equations. TJMCS. 2026;18:319–331.

MLA

Yeniçerioğlu, Ali Fuat. “On the Behaviors of Solutions of Linear Nonhomogeneous Mixed Type Differential Equations”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 2, June 2026, pp. 319-31, doi:10.47000/tjmcs.1664948.

Vancouver

1.Ali Fuat Yeniçerioğlu. On the Behaviors of Solutions of Linear Nonhomogeneous Mixed Type Differential Equations. TJMCS. 2026 Jun. 1;18(2):319-31. doi:10.47000/tjmcs.1664948