Hyers-Ulam Stability of a Generalized Second-Order Nonlinear Differential Equation

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...

Hyers-Ulam Stability of Nonlinear Integral Equation

Mittag-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.

Generalized Hyers-Ulam Stability of the Second-Order Linear Differential Equations

The stability problem of functional equations started with the question concerning stability of group homomorphisms proposed by Ulam 1 during a talk before a Mathematical Colloquium at the University of Wisconsin, Madison. In 1941, Hyers 2 gave a partial solution of Ulam’s problem for the case of approximate additive mappings in the context of Banach spaces. In 1978, Rassias 3 generalized the t...

Generalized Hyers - Ulam - Rassias Stability of a Quadratic Functional Equation

In this paper, we investigate the generalized Hyers-Ulam-Rassias stability of a new quadratic functional equation f (2x y) 4f (x) f (y) f (x y) f (x y) + = + + + − −