Sentence examples for for investigating stability from inspiring English sources

This paper describes the method and shows how it can be used for investigating stability and the design of simple classical compensators.

For investigating stability of a set of 13 low-copy transposable elements (TEs), element-specific primers were designed (see Additional file 4), and the fragments were obtained by PCR amplifications by using genomic DNA of the parental line (Tong211) as the template.

In previous paper [17] authors investigated stability estimates for Crank-Nicholson schemes for the Dirichlet problem for the fractional parabolic equation { ∂ u ( t, x ) ∂ t + D t 1 / 2 u ( t, x ) − ∑ p = 1 m ( a p ( x ) u x p ) x p + σ u ( t, x ) = f ( t, x ), x = ( x 1, …, x m ) ∈ Ω, 0 < t < T, u ( t, x ) = 0, x ∈ S, u ( 0, x ) = 0, x ∈ Ω ¯. (1.1).

For instance, Rassias [10] investigated stability properties of the following functional equation (11).

For a general τ, we investigate stability and asymptotic properties of solutions on the continuous and discrete time scales separately.

In this paper we investigate stability conditions for small-amplitude periodic solutions emerging near symmetry-preserving Hopf bifurcations in a time-delayed fully-connected N-node PLL network.

Given the large range of allele sizes for the SST1 arrays, we next investigated stability of transmission of alleles through three generations in two CEPH families.

This potential plays an important role for investigating the stability condition of the obtained solution.

Our task is to obtain a reliable and simple method for investigating the stability of solutions of this class of systems.

The most frequently used method for investigating the stability of functional-differential systems is the method of Lyapunov-Krasovskii functionals [2, 3].

The variational equations and the resulting transition matrix for investigating local stability of the periodic solutions are derived.