论文信息 - The behavior of solutions of second order delay differential equations

The behavior of solutions of second order delay differential equations

In this paper, we study the behavior of solutions of second order delay differential equation y″(t)=p1y′(t)+p2y′(t−τ)+q1y(t)+q2y(t−τ), where p1, p2, q1, q2 are real numbers, τ is positive real number. A basic theorem on the behavior of solutions is established. As a consequence of this theorem, a stability criterion is obtained.

Ali Fuat Yeniçerioğlu

[1] Baruch Cahlon,et al. Stability criteria for certain second-order delay differential equations with mixed coefficients , 2004 .

[2] Guang-Da Hu,et al. Stability analysis of numerical methods for systems of neutral delay-differential equations , 1995 .

[3] John L. Casti,et al. Introduction to the theory and application of differential equations with deviating arguments , 1973 .

[4] Jack K. Hale,et al. Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

[5] R. D. Driver. Exponential Decay in Some Linear Delay Differential Equations , 1978 .

[6] V. Kolmanovskii,et al. Applied Theory of Functional Differential Equations , 1992 .

[7] C. Philos,et al. The behavior of solutions of linear integro-differential equations with unbounded delay , 1999 .

[8] Marcel Abendroth,et al. Biological delay systems: Linear stability theory , 1990 .

[9] Christos G. Philos,et al. Periodic first order linear neutral delay differential equations , 2001, Appl. Math. Comput..

[10] R. D. Driver,et al. Ordinary and Delay Differential Equations , 1977 .

[11] Richard Bellman,et al. Differential-Difference Equations , 1967 .

[12] Ali Fuat Yeniçerioglu,et al. Exact and approximate solutions of second order including function delay differential equations with variable coefficients , 2004, Appl. Math. Comput..

[13] S. A. Tobias. Machine-tool vibration , 1965 .