کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4668758 | 1346071 | 2015 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the linearization theorem for nonautonomous differential equations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the linearization theorem for nonautonomous differential equations On the linearization theorem for nonautonomous differential equations](/preview/png/4668758.png)
چکیده انگلیسی
This paper presents an improvement of Palmer's linearization theorem in [10]. Palmer's linearization theorem extended the Hartman–Grobman theorem to the nonautonomous case. It requires two essential conditions: (i) the nonlinear term is bounded and Lipschitzian; (ii) the linear system as a whole possesses an exponential dichotomy. The main purpose of this paper is to weaken assumptions (i) and (ii). Also in this paper we prove that the topologically equivalent function H(t,x)H(t,x) in the linearization theorem is always Hölder continuous (and has a Hölder continuous inverse), so as a result we generalize and improve Palmer's linearization theorem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Bulletin des Sciences Mathématiques - Volume 139, Issue 7, October 2015, Pages 829–846
Journal: Bulletin des Sciences Mathématiques - Volume 139, Issue 7, October 2015, Pages 829–846
نویسندگان
Yong-Hui Xia, Rongting Wang, Kit Ian Kou, Donal O'Regan,