Exact(10)
Frame design in the U.S. was only affected by stability effects when applying the stability requirements from AISC 360-10.
The Engesser critical load is derived by applying the stability procedures to the total potential energy associated with the linear shear formulation.
Applying the stability diagram to a TTR in irregular waves shows that the introduction of extra damping to an unstable system can suppress the instability.
Hence applying the stability conditions using Lemma 4.1 the results (i)–(iv) can be achieved.
Applying the stability conditions | λ 1 | < 1 and | λ 2 | < 1, we obtain the desired result.
Hence, applying the stability conditions using Definition 2, one can obtain the results (i - iii).
Similar(50)
Next, we apply the stability results and we propose a new approach for stability robustness of variational difference equations.
To apply the stability analysis, the MRLW equation can be linearized by assuming that the quantity U in the non-linear term U2U x is locally constant.
M. Rassias [33] applied the stability theory of functional equations to prove fixed point theorems and study some new applications in nonlinear analysis.
Second, we applied the stability analysis method and the homotopy perturbation method to obtain the approximate analytic solutions for the fractional systems, which are expressed in the form of the Mittag-Leffler function.
In 1996, Isac and Rassias [28] applied the stability theory of functional equations to prove fixed point theorems and study some new applications in nonlinear analysis.Radu [29], Cãdariu and Radu [30, 31] applied the fixed point theorem of alternative to the investigation of Cauchy and Jensen functional equations.
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