We begin by considering the eigenvalue problem of the steady state equation of (2.1).
The critical dynamic pressure for panel flutter has been studied by considering the eigenvalue problem of the set of ODEs.
We establish some sufficient conditions for the nonexistence and existence of at least one or two positive solutions for the boundary value problem by considering the eigenvalue intervals of the nonlinear fractional differential equation with boundary conditions.
In [29], by considering the maximum eigenvalue, Zhou et al. presented a lower bound for the reciprocal distance matrix in terms of the sum of the i th row of it.
Principal components (PCs) are extracted by the scree plot method considering the eigenvalues more than 1 (Shrestha and Kazama 2007).
The number of factors retained was derived by considering the magnitude of the eigenvalues, Kaiser's (1960) eigenvalues [greater than 1] rule, the proportion of variance extracted, item content, and the interpretability of the resulting factors.
By considering the asymptotic estimates of eigenvalues, we obtain (2.6).
The eigenvalue problem is obtained by considering the kinetic and potential energy of both the fluid and the plate.
By considering the flywheel and the platform as an integral system with gyroscopic effects, an equivalent dynamic model is developed and verified through eigenvalue and frequency response analysis.
Next, we consider the eigenvalues of the linear problem (1.7).
