کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1714025 | 1013261 | 2008 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Almost periodic solutions of differential equations with piecewise constant argument of generalized type
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Almost periodic solutions of differential equations with piecewise constant argument of generalized type Almost periodic solutions of differential equations with piecewise constant argument of generalized type](/preview/png/1714025.png)
چکیده انگلیسی
We consider the existence and stability of an almost periodic solution of the following hybrid system: equation(1)dx(t)dt=A(t)x(t)+f(t,x(θβ(t)−p1),x(θβ(t)−p2),…,x(θβ(t)−pm)), where x∈Rn,t∈R,β(t)=ix∈Rn,t∈R,β(t)=i if θi≤t<θi+1,i=…−2,−1,0,1,2,…θi≤t<θi+1,i=…−2,−1,0,1,2,…, is an identification function, θiθi is a strictly ordered sequence of real numbers, unbounded on the left and on the right, pj,j=1,2,…,mpj,j=1,2,…,m, are fixed integers, and the linear homogeneous system associated with (1) satisfies exponential dichotomy. The deviations of the argument are not restricted by any sign assumption when existence is considered. A new technique of investigation of equations with piecewise argument, based on integral representation, is developed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Hybrid Systems - Volume 2, Issue 2, June 2008, Pages 456–467
Journal: Nonlinear Analysis: Hybrid Systems - Volume 2, Issue 2, June 2008, Pages 456–467
نویسندگان
M.U. Akhmet,