Most of the design codes (ACI-318-2008 and Euro Code 2-2004) propose the moment magnifier method in order to take into account the second order effect to design slender reinforced concrete columns.
The effects of fringe fields of the optical elements are also taken into account in the third order of accuracy.
For the control problem (1.4), the mapping (vrightarrow u v)) from U into (S 0,T)) is the second order Gâteaux differentiable at (v=v_{0}).
In vitro, we have demonstrated the capability of several different cell types to integrate into the cochlear nucleus, being the second order neuron in the auditory neuronal pathway [ 10– 10].
Firstly, if we substitute solution (7) into Eq. (6), then we obtain the second order IODE given in (8).
Firstly, by constructing a proper variable substitution,the original system is transformed into the first order differential system.
The present formulation considers doubly curved shells incorporating von Kármán type nonlinear strains into the first order shear deformation theory.
Thereby, some part of the reference wave is diffracted into the first order, which is called the object wave (green, solid).
In this paper, without transforming the second order inertial neural networks into the first order differential systems by some variable substitutions, asymptotic stability and synchronization for a class of delayed inertial neural networks are investigated.
Residuals obtained from regression of the mode shape using the Chebyshev series rational on the modal frequencies and transformation and application into the fourth order centered finite divided difference formula were used.
