کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4633397 1340669 2008 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic stability, contractivity and dissipativity of one-leg θ-method for non-autonomous delay functional differential equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Asymptotic stability, contractivity and dissipativity of one-leg θ-method for non-autonomous delay functional differential equations
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 203, Issue 1, 1 September 2008, Pages 333–342
نویسندگان
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