Year 2023,
Volume: 5 Issue: 2, 63 - 75, 31.12.2023
Ali Fuat Yeniçerioğlu
,
Cüneyt Yazıcı
References
- A. Ashyralyev, H. Akca, Stability estimates of difference schemes for neutral delay dfferential equations, Nonlinear Analysis, 44 (2001) 443-452.
- R. Bellman, K. Cooke, Differential-Difference Equations, Academic Press: New York, NY, USA, 1963.
- R.D. Driver, Ordinary and Delay Differential Equations, Springer: New York, NY, USA, 1977.
- 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.
- V. Kolmanovski, A. Myshkis, Applied Theory of Functional Differential Equations, Kluver Academic: Dordrecht, The Netherlands, 1992.
- A.F. Yeniçerioğlu, V. Yazıcı, C. Yazıcı, Asymptotic Behavior and Stability in Linear
Impulsive Delay Differential Equations with Periodic Coefficients, Mathematics, 8 (2020) 1802.
- N.E. Kobrinskii, V.I. Kus'min, Accuracy of Economic-Mathematical models, Finansy and Statistica, Moscow, 1981.
- M. Farkas, Periodic Motions, Applied Mathematical Sciences 104, Springer-Verlag, New York, Inc., 1994.
- 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.
- Ch.G. Philos, and I.K. Purnaras, Periodic first order linear neutral delay
differential equations, Applied Mathematics and Computation, 117 (2001) 203-222.
- M. Farkas, Asymptotic Periodicity of Delay Differential Equations, Journal of Mathematical Analysis and Applications, 226 (1998) 150-165.
ON THE BEHAVIORS OF SOLUTIONS IN LINEAR NONHOMOGENEOUS DELAY DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS
Year 2023,
Volume: 5 Issue: 2, 63 - 75, 31.12.2023
Ali Fuat Yeniçerioğlu
,
Cüneyt Yazıcı
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.
References
- A. Ashyralyev, H. Akca, Stability estimates of difference schemes for neutral delay dfferential equations, Nonlinear Analysis, 44 (2001) 443-452.
- R. Bellman, K. Cooke, Differential-Difference Equations, Academic Press: New York, NY, USA, 1963.
- R.D. Driver, Ordinary and Delay Differential Equations, Springer: New York, NY, USA, 1977.
- 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.
- V. Kolmanovski, A. Myshkis, Applied Theory of Functional Differential Equations, Kluver Academic: Dordrecht, The Netherlands, 1992.
- A.F. Yeniçerioğlu, V. Yazıcı, C. Yazıcı, Asymptotic Behavior and Stability in Linear
Impulsive Delay Differential Equations with Periodic Coefficients, Mathematics, 8 (2020) 1802.
- N.E. Kobrinskii, V.I. Kus'min, Accuracy of Economic-Mathematical models, Finansy and Statistica, Moscow, 1981.
- M. Farkas, Periodic Motions, Applied Mathematical Sciences 104, Springer-Verlag, New York, Inc., 1994.
- 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.
- Ch.G. Philos, and I.K. Purnaras, Periodic first order linear neutral delay
differential equations, Applied Mathematics and Computation, 117 (2001) 203-222.
- M. Farkas, Asymptotic Periodicity of Delay Differential Equations, Journal of Mathematical Analysis and Applications, 226 (1998) 150-165.