Sentence examples for by considering a general from inspiring English sources

Găvruţa [6] generalized it by considering a general control function instead of ε.

One of the aims of this paper is to answer the question by considering a general case of Cirić type generalized contractions.

Subsequently, this method was applied to investigate the Hyers-Ulam stability for the Jensen functional equation [27], as well as for the Cauchy functional equation [28], by considering a general control function φ ( x, y ) with suitable properties.

Now, the general group of symmetries can be obtained by considering a general linear combination κ 1 V 1 + ⋯ + κ 7 V 4 Open image in new window of the given vector fields.

Subsequently, this method was applied to investigate the Hyers-Ulam stability for Jensen functional equation [30], as well as for the Cauchy functional equation [31], by considering a general control function φ x, y), with suitable properties.

In [5], the steering vector is expanded into a limited Fourier series of phase modes by considering a general multiport antenna, carrying a current distribution C r, φ, z) on the surface S of a cylinder with radius r and height zmax.

By considering a more general class of polynomials, not vanishing in,, Gardner et al. [5] proved that.

This significantly extends previous results by considering a more general class of system nonlinearities which are modeled as functions of the system input and partially measurable state variables.

The systems internal energies are obtained first by considering solely the Cauchy stress and elastic strain relationship and then by considering a more general Cosserat-type elastic response, involving couple-stresses and elastic curvature.

This work gives a positive answer to the conjecture proposed by Lou et al. in [34] by considering a more general model under certain conditions, and also, can be seen as a further development of He and Ni [19] for competition diffusion system, where we bring new ingredients in the arguments to overcome the difficulty caused by the involvement of advection.

To facilitate the application of the method of continuity from [20], we need to consider more general equations than (1.3), namely we assume still that (A) is given by (1.4) but consider a general (B > 0, in C^2 overline{Omega }times {mathbb {R}}times {{mathbb {R}}}^n)).