TY  - JOUR
T1  - ON THE BEHAVIORS OF SOLUTIONS IN LINEAR NONHOMOGENEOUS DELAY DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS
AU  - Yeniçerioğlu, Ali Fuat
AU  - Yazıcı, Cüneyt
PY  - 2023
DA  - December
Y2  - 2023
DO  - 10.47086/pims.1363924
JF  - Proceedings of International Mathematical Sciences
JO  - PIMS
PB  - İbrahim ÇANAK
WT  - DergiPark
SN  - 2717-6355
SP  - 63
EP  - 75
VL  - 5
IS  - 2
LA  - en
AB  - 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.
KW  - DELAY DIFFERENTIAL EQUATION
KW  - PERIODIC COEFFICIENT
KW  - NONHOMOGENEOUS
KW  - SOLUTIONS
CR  - A. Ashyralyev, H. Akca,  Stability estimates of difference schemes for 	neutral delay dfferential equations, Nonlinear Analysis, 44 (2001) 443-452.
CR  - R. Bellman, K. Cooke, Differential-Difference Equations, Academic Press: New York, NY, USA, 1963.
CR  - R.D. Driver,  Ordinary and Delay Differential Equations, Springer: New York, NY, USA, 1977.
CR  - M.V.S. Frasson, S.M.V. Lunel,  Large Time Behaviour of Linear Functional Differential Equations, Integral Equations and Operator Theory,  47 (2003) 91–121.
CR  - V. Kolmanovski, A. Myshkis,  Applied Theory of Functional Differential Equations, Kluver Academic: Dordrecht, The Netherlands, 1992.
CR  - A.F. Yeniçerioğlu, V. Yazıcı, C. Yazıcı, Asymptotic Behavior and Stability in Linear
	Impulsive Delay Differential Equations with	Periodic Coefficients, Mathematics,  8 (2020) 1802.
CR  - N.E. Kobrinskii, V.I. Kus'min,  Accuracy of Economic-Mathematical models, Finansy and Statistica, Moscow, 1981.
CR  - M. Farkas, Periodic Motions, Applied Mathematical Sciences 104, Springer-Verlag, New York, Inc., 1994.
CR  - Ch.G. Philos, Asymptotic behaviour, nonoscillation and stability in periodic first-order linear	delay differential equations, Proceedings of the Royal Society of Edinburgh, 128A, 128 (1998) 1371-1387.
CR  - Ch.G. Philos, and I.K. Purnaras, Periodic first order linear neutral delay
	differential equations, Applied Mathematics and Computation, 117 (2001) 203-222.
CR  - M. Farkas,  Asymptotic Periodicity of Delay Differential Equations, Journal of Mathematical Analysis and Applications, 226 (1998) 150-165.
UR  - https://doi.org/10.47086/pims.1363924
L1  - https://dergipark.org.tr/en/download/article-file/3423258
ER  -