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The following lemma is three critical points theory which was introduced by Ricceri [9].
We state some basic notions and celebrated results from critical points theory.
To this end, we state some basic notions and celebrated results from critical points theory.
The extension of the continuous coupled points theory from the quadratic to the p-degree functional is described in [11].
We establish the existence of at least three weak solutions for the problem above which is based on an abstract three critical points theory due to Ricceri.
Proving existence results of fixed points on partially ordered metric spaces has been a relatively new development in metric fixed points theory.
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Dinallo also subscribed to the entry-point theory.
Fixed-points theory is then employed to derive the analytical expressions for the optimum tuning ratio and damping ratio of the proposed beam absorber.
In this paper, the fixed-points theory is examined for global vibration control namely the control of the kinetic energy of a continuous structure.
In many cases, an ingenious design law called fixed-points theory was utilized in determining the optimum tuning and damping ratios of the device.
The optimum parameters which are derived based on the classical fixed-points theory and reported in literature for this non-traditional DVA are shown to be not leading to the minimum resonant vibration amplitude of the controlled mass.
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