Sentence examples for retarded type from inspiring English sources

In this type of equation the argument deviation (eta(t)=t-2[(t+1)/2]) is a piecewise linear period function with period 2. Also, (eta(t)) is negative for (tin[2n-1,2n)) and positive for (tin[2n,2n+1)). Thus (1) is advanced type on ([2n-1,2n)) and retarded type on ([2n,2n+1)). Therefore (1) is EPCA of alternately advanced and retarded type.

This paper also extends previous results on the synthesis of proportional controllers for a class of delay systems of retarded type to a larger class of delay systems.

The properties of the spectrum of delay differential algebraic equations of retarded type are analyzed and an integration method to compute the mean and variance of the spectral abscissa, which describes the stability property of the system, is presented.

Consider the following functional differential equation of retarded type: x ˙ ( t ) = f ( t, x t ), (9).

In three numerical examples considered for retarded type systems, the resulting values of H∞-norm converge to the exact ones.

Therefore, (1.1) is of advanced type on [ 2 n − 1, 2 n ) and of retarded type on ( 2 n, 2 n + 1 ).

Enhanced AVP mRNA production leads to increased plasma levels of AVP [ 220] that have been related to an enhanced suicide risk in depression, as well as to an anxious-retarded type of depression, psychomotor retardation and memory disturbances in depression.

We are now to deal with a certain class of Henry-Gronwall type retarded inequalities with weak integral kernels.

Recently, Ye and Gao [17] studied a Henry-Gronwall type retarded integral inequalities: left { textstylebegin{array}{l} u(t)leqslant a(t)+int_{t_{0}}^{t} t-s)^{beta -1} t-su(s-r), mathrm{d}s,quad tin[t_{0},T), u(t)leqslantphi(t), quad tin[t_{0}-r,t_{0}), end{array}displaystyle right. and used it to obtain boundedness of a class of fractional differential equations.

The results provide insight into a possible alternative means of retarding wear-type corrugation growth.

(30) In this section, we consider a retarded SDE of neutral type in the form d biggl(X t -int_{-tau}^{0}X t -int_{-tau}dtheta) biggr)= biggl(int_{-tau}^{0}X t -int_{-tau}theta) biggr),dt+sigma(t),dW(t) (31) with the initial value (X(t)=xi(t)), (tin[-tau,0]).