کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4610167 | 1338548 | 2015 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A Perron-type theorem for nonautonomous differential equations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A Perron-type theorem for nonautonomous differential equations A Perron-type theorem for nonautonomous differential equations](/preview/png/4610167.png)
چکیده انگلیسی
We show that the asymptotic exponential behavior of the solutions of a linear equation x′=A(t)xx′=A(t)x is reproduced by the solutions of the nonlinear equation x′=A(t)x+f(t,x)x′=A(t)x+f(t,x) for any sufficiently small perturbation f. More precisely, we show that if the Lyapunov exponents of the linear equation are limits, then the same happens with the Lyapunov exponents of the solutions of the nonlinear equations, in fact without introducing new values. Our approach is based on Lyapunov's theory of regularity, including its generalization to infinite-dimensional spaces.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 258, Issue 2, 15 January 2015, Pages 339–361
Journal: Journal of Differential Equations - Volume 258, Issue 2, 15 January 2015, Pages 339–361
نویسندگان
Luis Barreira, Claudia Valls,