Aboodh transform and the stability of second order linear differential equations

R. Murali, A. Ponmana Selvan, Choonkil Park, Jung Rye Lee

Type: Article

Publication Date: 2021-06-15

Citations: 18

DOI: https://doi.org/10.1186/s13662-021-03451-4

Abstract

Abstract In this paper, we introduce a new integral transform, namely Aboodh transform, and we apply the transform to investigate the Hyers–Ulam stability, Hyers–Ulam–Rassias stability, Mittag-Leffler–Hyers–Ulam stability, and Mittag-Leffler–Hyers–Ulam–Rassias stability of second order linear differential equations.

Locations

Advances in Difference Equations - View - PDF
DOAJ (DOAJ: Directory of Open Access Journals) - View

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+	On approximation of approximately linear mappings by linear mappings	1982	John Michael Rassias
+	On some inequalities and stability results related to the exponential function	1998	Claudi Alsina Roman Ger
+ 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	On stability of additive mappings	1991	Zbigniew Gajda
+ PDF Chat	On the stability of the linear functional equation in a single variable on complete metric groups	2013	‎Soon-Mo Jung Dorian Popa Michael Th. Rassias
+ PDF Chat	ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy	2002	Sin‐Ei Takahasi Takeshi Miura Shizuo Miyajima
+	Hyers–Ulam stability of linear differential equations of first order, III	2005	‎Soon-Mo Jung