کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9502671 1339531 2005 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hyers-Ulam stability of linear differential equations of first order, III
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Hyers-Ulam stability of linear differential equations of first order, III
چکیده انگلیسی
Let X be a complex Banach space and let I=(a,b) be an open interval. In this paper, we will prove the generalized Hyers-Ulam stability of the differential equation ty′(t)+αy(t)+βtrx0=0 for the class of continuously differentiable functions f:I→X, where α, β and r are complex constants and x0 is an element of X. By applying this result, we also prove the Hyers-Ulam stability of the Euler differential equation of second order.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 311, Issue 1, 1 November 2005, Pages 139-146
نویسندگان
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