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
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Almost periodic solutions of differential equations with piecewise constant argument of generalized type
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
نویسندگان
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