Hyers-Ulam stability and exponential dichotomy of linear differential periodic systems are equivalent
نویسندگان
چکیده
منابع مشابه
Hyers-ulam stability of exact second-order linear differential equations
* Correspondence: baak@hanyang. ac.kr Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, South Korea Full list of author information is available at the end of the article Abstract In this article, we prove the Hyers-Ulam stability of exact second-order linear differential equations. As a consequence, we show the Hyers-Ulam stability of the fo...
متن کاملHyers–ulam Stability of Linear Differential Equations with Vanishing Coefficients
We establish the Hyers-Ulam stability of certain first-order linear differential equations where the coefficients are allowed to vanish. We then extend these results to higher-order linear differential equations with vanishing coefficients that can be written with these first-order factors. AMS (MOS) Subject Classification. 34A30, 34A05, 34D20.
متن کاملMittag-Leffler-Hyers-Ulam Stability of Fractional Differential Equation
In this article, we study the Mittag-Leffler-Hyers-Ulam and Mittag-Leffler-Hyers-Ulam-Rassias stability of a class of fractional differential equation with boundary condition.
متن کاملHyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay
In this paper we are going to study the Hyers{Ulam{Rassias typesof stability for nonlinear, nonhomogeneous Volterra integral equations with delayon nite intervals.
متن کاملHyers-ulam Stability of Isometries
Let X and Y be real Banach spaces. A mapping q5 : X --t Y is called an &-isometry if 1 IIq5(z) ~$(y)jl 11% yI/ I 5 E holds for all z,y E X. If q5 is surjective, then its distance to the set of all isometries of X onto Y is at most yx~, where yx denotes the Jung constant of X.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2015
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2015.1.58