Galoitica: Journal of Mathematical Structures and Applications

This paper considers Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations. We establish sufficient conditions of Hyers-Ulam-Rassias stability and Hyers-Ulam stability for linear and semi-linear systems of differential equations. Illustrative examples will be given.

This paper is dedicated to answer the following question:If L is a Lie algebra over a field with characteristic zero, and if S is an original property in Lie algebras class, then does S is a characteristic ideal of L?.For this goal, we have proved many related theorems, and illustrated some examples.

The objective of this paper is to define and study for the first time the concept of symbolic 3-plithogenic module based on symbolic 3-plithogenic sets and classical modules.Also, many related substructures will be defined and handled such as AH-functions, AH-submodules, and symbolic 3-plithogenic homomorphisms.

The objective of this paper is to define and study for the first time the concept of symbolic 3-plithogenic vector spaces based on symbolic 3-plithogenic sets and classical vector spaces.Also, many related substructures will be defined and handled such as AH-functions, AH-spaces, and symbolic 3-plithogenic basis.