کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1138201 | 1489210 | 2007 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Convergent solutions of certain nonlinear differential equations with maxima
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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
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چکیده انگلیسی
We study nonlinear differential equations with maxima of the form {x′(t)=f(t,x(t),maxu∈Itx(u)),witht∈Ix(t)=χ(t),witht∈[t0−h,t0].We prove that this equation has the property of asymptotic equilibrium, and we give an asymptotic representation for the solutions of this differential equation. Moreover, we prove the stability of the convergent solutions. In the given examples we can apreciate that the asymptotic representation of the solutions is satisfied for sufficiently large values of tt. However, the existence of the asymptotic solution can be obtained for all t∈[−h,∞)t∈[−h,∞) by assuming some more strict hypotheses, i.e., for initial conditions small enough.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 45, Issues 1–2, January 2007, Pages 1–10
Journal: Mathematical and Computer Modelling - Volume 45, Issues 1–2, January 2007, Pages 1–10
نویسندگان
Patricio González, Manuel Pinto,