کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616883 1339361 2013 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Laplace transform and Hyers-Ulam stability of linear differential equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Laplace transform and Hyers-Ulam stability of linear differential equations
چکیده انگلیسی
In this paper, we prove the Hyers-Ulam stability of a linear differential equation of the nth order. More precisely, applying the Laplace transform method, we prove that the differential equation y(n)(t)+∑k=0n−1αky(k)(t)=f(t) has Hyers-Ulam stability, where αk is a scalar, y and f are n times continuously differentiable and of exponential order, respectively.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 403, Issue 1, 1 July 2013, Pages 244-251
نویسندگان
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