Sentence examples for retarded argument from inspiring English sources

We consider the following th-order differential equation with retarded argument: (1.1).

The asymptotic formulas for the eigenvalues and eigenfunctions of boundary problem of Sturm-Liouville type for second order differential equation with retarded argument were obtained in [5].

In this article, we study the eigenvalues and eigenfunctions of discontinuous boundary-value problem with retarded argument and a spectral parameter in the boundary condition.

Necessary and sufficient conditions are found for oscillation of the solutions of a class of strongly superlinear and strongly sublinear differential equations of even order with retarded argument.

Boundary-value problems for differential equations of the second order with retarded argument were studied in [1 5], and various physical applications of such problems can be found in [2].

In this study, a discontinuous boundary-value problem with retarded argument which contains a spectral parameter in the boundary condition and with transmission conditions at the point of discontinuity is investigated.

Retarded differential equations (RDEs) are differential equations having retarded arguments.

Retarded stochastic differential equations (SDEs) are such SDEs that involve retarded arguments.

By imposing some additional assumptions, in the present paper we shall discuss the signs of ith-order derivatives of eventually positive solutions for (i=1,ldots,n-1), and we establish concrete criteria for the asymptotics and oscillation of (1.1) for both the even-order and the odd-order cases, where the deviating arguments may be retarded, advanced, or mixed.

In this paper, we have discussed the asymptotics and oscillation for nth-order nonlinear differential equation (1.1), where the deviation argument (g(t)) may be retarded, advanced, or mixed.

The petition states that his lawyer's argument that the prisoner is "mentally retarded" is not new, and has been rejected by previous courts.