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The application of stability theory results in a relationship between the complex time constant β, the wave vector components kx and ky, and the phenomenological coefficients in the form of a third-order complex polynomial.
The geomechanical classification or the RMR system was first proposed by Bieniawski [8] for the application of stability assessment for designing tunnels, mine, dam, and underground excavations.
These numerical methods need more detailed representation of the power system but they are not suited for online application of stability assessment and control.
However, comparing with the stability analysis in [27], we use a different method to analyze the stability and also extend the application of stability for iterations.
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Harder [7] established applications of stability results to first-order differential equations.
Rassias [24] were the first to provide applications of stability theory of functional equations for the proof of new fixed-point theorems with applications.
In 1996, Hyers et al. [15] were the first to provide applications of stability theory of functional equations for the proof of new fixed point theorems with applications.
M. Rassias [30] were the first to provide applications of stability theory of functional equations for the proof of new fixed point theorems with applications.
In 1996, Isac and Rassias [28] were the first to provide applications of stability theory of functional equations for the proof of new fixed point theorems with applications.
In 1996, Isac and T.M. Rassias [46] were the first to provide applications of stability theory of functional equations for the proof of new fixed-point theorems with applications.
In 1996, Isac and Th.M. Rassias [39] were the first to provide applications of stability theory of functional equations for the proof of new fixed point theorems with applications.
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