کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4628974 | 1340572 | 2013 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Existence of solutions bounded together with their first derivatives of some systems of nonlinear functional differential equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Existence of solutions bounded together with their first derivatives of some systems of nonlinear functional differential equations Existence of solutions bounded together with their first derivatives of some systems of nonlinear functional differential equations](/preview/png/4628974.png)
چکیده انگلیسی
We give sufficient conditions for the system of nonlinear functional differential equations of the formxâ²(t+1)=Axâ²(t)+F(t,x(t),x(v(1)(t)),â¦,x(v(k)(t)),xâ²(g1(t)),â¦,xâ²(gl(t))),where A is a matrix, detAâ 0, v(j)(t)=Ïj1(t,x(Ïj2(â¦x(Ïjmj(t,x(t)))â¦))), j=1,k¯, and functions F:R+Ã(Rn)k+l+1âRn, gj:R+âR+, j=1,l¯, Ïji:R+ÃRnâR+, j=1,k¯, i=1,mj¯, are continuous, for the unique existence of continuously differentiable solutions x(t) which are bounded together with their first derivatives on R+=[0,â) and satisfy the condition limtâ+â|x(t+1)-Ax(t)|=0.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 12, 15 February 2013, Pages 6457-6465
Journal: Applied Mathematics and Computation - Volume 219, Issue 12, 15 February 2013, Pages 6457-6465
نویسندگان
Stevo SteviÄ,