کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4633397 | 1340669 | 2008 | 10 صفحه PDF | دانلود رایگان |

This paper focuses on asymptotic stability, contractivity and dissipativity of non-autonomous nonlinear delay functional differential equations with bounded lag, and the corresponding dynamical properties of one-leg θ-method. Sufficient conditions for these delay functional differential equations to be dissipative, asymptotically stable and contractive are established. One-leg θ-method is constructed to solve such equations numerically. An important result on the growth of solution of a class of difference inequalities with variable coefficients is obtained. Finally, it is proved that the one-leg θ-method is asymptotically stable, contractive and dissipative if and only if θ = 1. Numerical examples are given to confirm our theoretical results.
Journal: Applied Mathematics and Computation - Volume 203, Issue 1, 1 September 2008, Pages 333–342