کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
394286 665789 2012 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Interval Cauchy problem with a second type Hukuhara derivative
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Interval Cauchy problem with a second type Hukuhara derivative
چکیده انگلیسی

In this paper we consider interval differential equations. Such the equations can be appropriate in modeling of dynamical systems under presence of uncertainty of parameters. We study an interval initial value problem with a second type Hukuhara derivative. By an example of real-world application we indicate the advantages of the usage of such a kind of interval-valued derivative. A continuous dependence of the solution on initial value and right-hand side of the equation is shown. The existence of approximate local solutions is proven, and then it is used in the derivation of existence of at least one local solution to interval Cauchy problem with second type Hukuhara derivative. The compactness of solutions set is also stated. Finally, the explicit formulae for local solutions to linear interval differential equations are provided.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information Sciences - Volume 213, 5 December 2012, Pages 94–105
نویسندگان
,