By analyzing the limiting behavior of sequences of a smooth function { u n }, we can prove the existence of a weak solution to problem (3).
In this sense, the characterization of indoor VLC channels, their time dispersion, and wavelength response is essential to studying and analyzing the limits in terms of the design and performance offered by such links.
Analyzing the limits of symbolic graph algorithms for the all-pairs-shortest paths problem which work on OBDD-represented graph instances the so-called graph of integer multiplication has been investigated by Sawitzki [D.
In this paper, by analyzing the limiting composite curve of a single-contaminant water system, a method is proposed to construct the optimal water supply line for regeneration recycling.
We start by analyzing the limiting behavior as x → ±∞ that any bounded positive solution necessarily has.
Moreover, these results may provide important theoretical foundations to further analyze the limit cycle and bifurcations of networks (2.3).
That is, u_{i}(t) = u_{beta,i}(t), quad i=1,2,ldots,N, and the purpose of this paper is to analyze the limit process (betarightarrowinfty).
Finally, specific cycling tests have been conducted at increasing maximum loads to analyze the limit for plastic deformation of the micropillar, which happens between 500 and 700 MPa.
However, under some restrictions we can use a roundabout way to analyze the limit behavior on ( S n ) n ≥ 1 by the law of the iterated logarithm, then we give some sufficient conditions on the almost sure oscillation for (1.3).
To avoid the effects of moisture, ash on methane adsorption capacity, we adopted the dry ash-free basis index to analyze the limit monolayer adsorption capacity (a), expressed in (a_{{rm daf}}).
Note that the sequence S n ∗ = : ∑ i = 0 n σ ( i ) ξ ( i + 1 ) ( n = 0, 1, … ) has the independent increment property, and as a result the authors can analyze the limit behavior of system (1.1) by the law of the iterated logarithm and they obtain a beautiful result, i.e., the solution of (1.1) is an almost sure oscillation under some sufficient conditions.
