- 期刊
ASYMPTOTIC RELATIONSHIPS BETWEEN TWO HIGHER ORDER ORDINARY DIFFERENTIAL EQUATIONS
摘要
Some asymptotic relationships between the two ordinary differential equations(1) x^((n))+p_1(t)x^((n-1))+...+p_n(t)x=0, (2) y^((n))+p_1(t)y^((n-1))+...+p_n(t)y=f(t,y), are studied. Conditions are given that lead to an asymptotic equivalence between certain of the solutions of (1) and certain of the solutions of (2). The case where the perturbation f(t,y) depends on a functional argument is also discussed.
延伸閱讀
- Li, T., & Rogovchenko, Y. V. (2014). Asymptotic Behavior of Higher-Order Quasilinear Neutral Differential Equations. Abstract and Applied Analysis, 2014(), 554-564-568. https://doi.org/10.1155/2014/395368
- Han, M. A., Yu, P., Romanovski, V. G., & Zhang, T. H. (2014). Periodic Solutions and Asymptotic Analysis of Ordinary Differential Equations. Abstract and Applied Analysis, 2014(), 614-614-368. https://doi.org/10.1155/2014/291482
- Li, Q., Wang, R., Meng, F., & Han, J. (2014). Asymptotic Properties of Solutions to Third-Order Nonlinear Neutral Differential Equations. Abstract and Applied Analysis, 2014(), 1032-1035-999. https://doi.org/10.1155/2014/618183
- HAMMADI, A. A. (1998). ASYMPTOTIC THEORY FOR A CRITICAL CASE FOR A GENERAL FOURTH-ORDER DIFFERENTIAL EQUATION. International Journal of Mathematics and Mathematical Sciences, 1998(), 479-488. https://doi.org/10.1155/S0161171298000684
- Herzallah, M. A. E., & Baleanu, D. (2014). On Fractional Order Hybrid Differential Equations. Abstract and Applied Analysis, 2014(), 423-429-551. https://doi.org/10.1155/2014/389386