کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639066 1632031 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence of continuous solutions and stability for a general iterative functional equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Existence of continuous solutions and stability for a general iterative functional equation
چکیده انگلیسی


• We investigate the existence of solutions for a general form iterative equation.
• The stability of those solutions is also discussed.
• We generalize the work from a linear combination of iterates to nonlinear.
• An algorithm is presented to compute the piecewise linear solutions.

In this paper, C0C0 solutions for a general form of iterative functional equation are considered when the coefficient of the first order iterate can be zero, which is called the leading coefficient problem for polynomial-like iterative equations. Moreover, the stability of those C0C0 solutions is also discussed. Finally, as an application, we give an algorithm to compute the piecewise linear solutions of polynomial-like iterative equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 260, April 2014, Pages 509–518
نویسندگان
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