کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10426878 | 908494 | 2011 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Dynamics of a class of ODEs more general than almost periodic
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Dynamics of a class of ODEs more general than almost periodic Dynamics of a class of ODEs more general than almost periodic](/preview/png/10426878.png)
چکیده انگلیسی
A temporally global solution, if it exists, of a nonautonomous ordinary differential equation need not be periodic, almost periodic or almost automorphic when the forcing term is periodic, almost periodic or almost automorphic, respectively. An alternative class of functions extending periodic and almost periodic functions which has the property that a bounded temporally global solution solution of a nonautonomous ordinary differential equation belongs to this class when the forcing term does is introduced here. Specifically, the class of functions consists of uniformly continuous functions, defined on the real line and taking values in a Banach space, which have pre-compact ranges. Besides periodic and almost periodic functions, this class also includes many nonrecurrent functions. Assuming a hyperbolic structure for the unperturbed linear equation and certain properties for the linear and nonlinear parts, the existence of a special bounded entire solution, as well the existence of stable and unstable manifolds of this solution are established. Moreover, it is shown that this solution and these manifolds inherit the temporal behaviour of the vector field equation. In the stable case it is shown that this special solution is the pullback attractor of the system. A class of infinite dimensional examples involving a linear operator consisting of a time independent part which generates a C0-semigroup plus a small time dependent part is presented and applied to systems of coupled heat and beam equations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 7, 1 April 2011, Pages 2695-2719
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 7, 1 April 2011, Pages 2695-2719
نویسندگان
P.E. Kloeden, H.M. Rodrigues,