Hyers-Ulam-Rassias stability for the linear ordinary differential equation of third order

R. Murali, A. Ponmana Selvan

Type: Article

Publication Date: 2018-01-01

Citations: 17

DOI: https://doi.org/10.5937/kgjmath1804579m

Abstract

The Hyers-Ulam stability of the Ordinary Differential Equations has been investigated and the investigation is ongoing. In this paper, by applying initial condition, we investigate the approximate solutions of the homogeneous and non-homogeneous linear differential equation in the sense of Hyers-Ulam-Rassias.

Locations

Kragujevac Journal of Mathematics - View - PDF

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Works Cited by This (22)

Action	Title	Year	Authors
+	None	2000	Themistocles M. Rassias
+ PDF Chat	A characterization of Hyers–Ulam stability of first order linear differential operators	2003	Takeshi Miura Shizuo Miyajima Sin–Ei Takahasi
+	On some inequalities and stability results related to the exponential function	1998	Claudi Alsina Roman Ger
+ PDF Chat	HYERS-ULAM-RASSIAS STABILITY OF THE BANACH SPACE VALUED LINEAR DIFFERENTIAL EQUATIONS y′ = λy	2004	Takeshi Miura ‎Soon-Mo Jung Sin–Ei Takahasi
+ PDF Chat	On the stability of the linear mapping in Banach spaces	1978	Themistocles M. Rassias
+ PDF Chat	On the Stability of the Linear Functional Equation	1941	D. H. Hyers
+	Hyers–Ulam stability of linear differential equations of first order, II	2005	‎Soon-Mo Jung
+ PDF Chat	On the Stability of the linear Transformation in Banach Spaces.	1950	Tosio Aoki
+ PDF Chat	Generalized Hyers‐Ulam Stability of the Second‐Order Linear Differential Equations	2011	A. Javadian E. Sorouri Gwang Hui Kim M‎. ‎Eshaghi Gordji
+ PDF Chat	ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy	2002	Sin‐Ei Takahasi Takeshi Miura Shizuo Miyajima