Abstract. Let P (z) be a polynomial of degree n with complex coecients and consider the n-th order linear dierential operator P (D). We show that the equation P (D)f = 0 has the Hyers-Ulam stability, if and only if the equation P (z) = 0 has no pure imaginary solution. 1. Introduction an
We solve the inhomogeneous differential equation of the form y′′+2xy′−2n...
aim of this paper is to prove the stability in the sense of Hyers-Ulam of differential equation of s...
Abstract. First we prove that an n × n complex linear system is Hyers–Ulam stable if and only if it ...
Abstract. The aim of this paper is to prove the stability in the sense of Hyers–Ulam stability of a ...
AbstractWe prove the Hyers-Ulam stability of linear differential equations of first order,(t)y′(t) =...
This paper is dedicated to Professor Allan Peterson in honor of his 45th year at the University of N...
(communicated by Th. Rassias) Abstract. Let Ω be a convex open set of C, and let X be a complex Bana...
In this article, we prove the Hyers-Ulam stability of exact second-order linear differential equatio...
AbstractThis paper is concerned with the Hyers–Ulam stability of the first-order linear differential...
Let X be a complex Banach space, h a complex-valued continuous function on the real line R and Th: C...
In this paper, we will prove the generalized Hyers-Ulam stability of the linear differential equatio...
We prove the generalized Hyers-Ulam stability of the first-order linear homogeneous matrix different...
Abstract. Let X be a complex Banach space and I an open interval. We prove the stability result in t...
This paper considers the stability of nonlinear differential equations of nth order in the sense of ...
Abstract. Recent development of the Hyers-Ulam-Rassias sta-bility is due to D. H. Hyers [10] and Th....
We solve the inhomogeneous differential equation of the form y′′+2xy′−2n...
aim of this paper is to prove the stability in the sense of Hyers-Ulam of differential equation of s...
Abstract. First we prove that an n × n complex linear system is Hyers–Ulam stable if and only if it ...
Abstract. The aim of this paper is to prove the stability in the sense of Hyers–Ulam stability of a ...
AbstractWe prove the Hyers-Ulam stability of linear differential equations of first order,(t)y′(t) =...
This paper is dedicated to Professor Allan Peterson in honor of his 45th year at the University of N...
(communicated by Th. Rassias) Abstract. Let Ω be a convex open set of C, and let X be a complex Bana...
In this article, we prove the Hyers-Ulam stability of exact second-order linear differential equatio...
AbstractThis paper is concerned with the Hyers–Ulam stability of the first-order linear differential...
Let X be a complex Banach space, h a complex-valued continuous function on the real line R and Th: C...
In this paper, we will prove the generalized Hyers-Ulam stability of the linear differential equatio...
We prove the generalized Hyers-Ulam stability of the first-order linear homogeneous matrix different...
Abstract. Let X be a complex Banach space and I an open interval. We prove the stability result in t...
This paper considers the stability of nonlinear differential equations of nth order in the sense of ...
Abstract. Recent development of the Hyers-Ulam-Rassias sta-bility is due to D. H. Hyers [10] and Th....
We solve the inhomogeneous differential equation of the form y′′+2xy′−2n...
aim of this paper is to prove the stability in the sense of Hyers-Ulam of differential equation of s...
Abstract. First we prove that an n × n complex linear system is Hyers–Ulam stable if and only if it ...
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