کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4616016 | 1339334 | 2014 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Center conditions and integrable forms for the Poincaré problem
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Center conditions and integrable forms for the Poincaré problem Center conditions and integrable forms for the Poincaré problem](/preview/png/4616016.png)
چکیده انگلیسی
We consider the polynomial system dxdt=−y−p(x,y), dydt=x+q(x,y) where p,qp,q are homogeneous polynomials of degree n⩾2n⩾2. By finding integrable forms of the system, we obtain several new sets of center conditions valid for general values of n. We also find a general class of centers valid for even values of n which is based on certain parity properties of a related differential equation. We further give several conditions which are valid specifically for n=4,5n=4,5. In addition, we demonstrate that the system can be transformed to an Abel equation having rational coefficients and show how the solution to the system leads to the solution of the corresponding Abel equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 411, Issue 1, 1 March 2014, Pages 442–452
Journal: Journal of Mathematical Analysis and Applications - Volume 411, Issue 1, 1 March 2014, Pages 442–452
نویسندگان
G.R. Nicklason,