... g
m
(ζ))
b
a+deg
z,∞
a
r
m
{b
a+deg
z,∞
a
r
m
1
m
2
qk−p(r)
m
ρ
m
}
m
1
m
2
qk−p(r)
M
r
[g
m
](ζ).
(3.11)
11
3. Proof ofthe results
Proof of Theorem 1.4 Suppose that the conclusion of theorem is not true, then
there exists an entire solution w(z) satisfies the equation [Q(w(z))]
n
= P [w]. ... Yuan, WJ: Further results of Gol
db erg’s theorem concerning the
growthof meromorphic solutions of algebraic differential equations. Acta Math. Sci.
This Provisional PDF corresponds to the article ... appeared upon acceptance. Fully formatted
PDF and full text (HTML) versions will be made available soon.
Further results ofthe estimate ofgrowthof entire solutions of some classes of
algebraic...
... function or ∞ (see
[1]).
11
3. Proof ofthe results
Proof of Theorem 1.4 Suppose that the conclusion of theorem is not true, then
there exists an entire solution w(z) satisfies the equation [Q(w(z))]
n
= ... (HTML) versions will be made available soon.
Further results ofthe estimate ofgrowthof entire solutions of some classes of
algebraic differential equations
Advances in Difference Equations 2012, ... λ(w
2
).
If w
2
is a rational function, then w
1
must be a rational function, so that the
conclusion of Theorem 2 is right. If w
2
is a transcendental meromorphic function,
by the systems of algebraic differential...
... side ofthe plane of projection any or all ofthe branches are situated. We know
the real shape of each branch, but we do not know whether it lies onthe hither or onthe farther side of the
plane ... observations
of the star, one with reversed position ofthe telescope, and take the mean ofthe readings of
the horizontal circle. I t must be remembered that the reading ofthe compass needle, when
the ... change as to the form and disposition ofthe details. In the second
place, the disposition of color onthe surface ofthe planet has entirely changed, also. In 1889
there is very little ofthe red...
... stipulation onthe subject. That the exclusion of Chinese
A Compilation ofthe Messages and Papers ofthe Presidents 68
Thursday, the 3d of September, being the anniversary ofthe signing ofthe ... the date ofthe exchange of ratifications ofthe same
the provisions of Article VIII ofthe convention of July 29, 1882, between the United States and Mexico, in
regard to the resurvey ofthe boundary ... instant from the Secretary ofthe Interior, inclosing a report from
the Commissioner of Indian Affairs upon the subject ofthe condition ofthe Northern Cheyenne Indians upon
the Rosebud and Tongue...
... co-intensionality
alone; in most cases co-intensionality is too strong a
condition for substitution. Rather, the
background
assumptions
of the discourse determine whether a
substitution of one descriptor ... lady.
The assumption is that since the filler ofthe role
Queen of England
is not likely to change within the
time ofthe conversation and the speaker, the hearer,
and Nadia are all aware of ... the
intensionality
of the descrip-
tor, the
time of reference
of the descriptor, and the
agents
of the descriptor. We must establish the
"level" of each factor in the target...
... section ofthe JTM is espe-
cially interested in the publication of discoveries in four
areas:
1) Clinical models that allow the characterization of the
molecular profile of non-cancer cells in the ... announce the
new section ofthe Journal of Translational Medicine
devoted to promoting the field of Cancer Microenviron-
ment.
A new forum on diagnostic and therapeutic implications of
molecular ... exchange of opinions. The Cancer Microenviron-
ment section of JTM is a potent tool to most efficiently
achieve these tasks. Thus, this section ofthe JTM pro-
vides a venue for publication of original...
... problems. The child and its family
should be the focus ofthe professional. Also, profession-
als should be made aware ofthe consequences of care for
parents during their training. Furthermore, they ... (2) contains the direct effects ofthe back-
ground characteristics on HRQoL, and the third part (3)
contains the effects ofthe mediating factors on HRQoL.
The total effect of a variable on HRQoL ... and asking their participation.
Parents decided themselves whether the mother or the
father completed the questionnaire. The letter was accom-
panied by the questionnaire, an informed consent form
and...
... signifi-
cant reduction ofthe quality of life, in both PCS-12 and
MCS-12. Table 2 shows the distribution ofthe mean
scores of both parameters based onthe use of oxygen ther-
apy and the variables ... volume of sputum or any combination of these
symptoms, of acute onset, and requiring a change in the
regular medication ofthe patient [18].
The study was approved by the Ethics Committee of the
Foundation ... to the reference population, a reduction of
PCS-12, even in the initial stages, though they only show
a reduction in MCS-12 in the most advanced phases of the
disease. The determinant factors of...
... part of a risk group. In addition,
the combination of these two LEs seems to be usual. In
fact,notonlytheLCUssumscoredeterminetheeffect,
it’s the undesirab ility of thes e LEs what makes respon-
dents ... than the general EU
population. The Spanish version ofthe questionnaire
has demonstrated acceptable validity and reliability
[33,34]. In this study, only responses from adolescents
and youths on ... Paren-
tal level of education was collected from the adult
respondent and included the highest family level of edu-
cation according to the International Standard Classifi-
cation of Education (ISCED)....
... impact of stroke onthe mobi-
lity component ofthe Health Utility Index (HUI), but
not the emotional well being component ofthe HUI.
Sincewerevealedapositiverelationship between PA
and the Physical ... to the fact that our subjects
were not phys ically active and therefore their self report
was relatively accurate. In addition it is possible that
one’sHRQLisbasedmainlyonone’ s perception of the
activities ... example),
and yet the relationship of this variable to HRQL in
individuals with stroke is unknown. Thus, the aims of
our study were 1) to determine the contribution of daily
PA to the HRQL of individuals...
... par-
ticular for the psychosocial aspects ofthe HRQOL,
while the aspects ofthe physician-patient relationship
are important for all domains ofthe HRQOL. The con-
firmation ofthe significance of anger ... of
the PICS) does not appear to be relevant.
Discussion
The two hypotheses presented in the introduction were
confi rmed, at least for some ofthe sub -dimensions. The
relevance ofthe personality ... a
correlation to the quality ofthe physician-patient rela-
tionship. However, w e are not aware of any study that
has examined both the influence of these personality
variables and the influence of the...
... taken
from the circled area in the ZnO nanorod, and the incidence
angle of high electrons was adopted along the cross-section
of the nanorod, it can be concluded that the nanorod grows
exactly along the ... the
same epitaxial relationship as the seed layer. At the same
time, the lateral growthof ZnO is greatly limited while the
growth along [0001] direction dominates the whole growth
process considering ... growing on them varies to a great degree.
Therefore, the orientation and the diameter ofthe nanorods
are highly dependent onthe crystal quality ofthe under-
lying ZnO seed layer.
The optical...
... (1.5). The proofs rely onthe a priori bounds on solutions of Section 2 and the
nonlinear alternative.
The following theorem gives the existence of solutions to the Dirichlet BVP on time
scales.
Theorem ... = 0.Then(1.13) has a unique solution satisfying the boundary conditions
(1.2).
Proof. Since (1.13) is linear, the difference of two solutions to the BVP (1.13), (1.2)isalso
a solution ofthe BVP
y
∆∆
(t) ... paper
were the works [1, 2, 3, 4, 8, 9, 10].
2. A priori bounds on solutions
In order to apply Theorem 1.8, a priori bounds on solutions to the BVPs are needed.
In this section conditions on f and on the...
... +1.
(1.18)
Now the proof follows as the proof of [7, Theorem 1.4.8].
The next two theorems give precise information about the asymptotics of linear non-
autonomous difference equations. Consider the scalar ... Regions for the asymptotic behavior of solutions of (1.4).
5. Rateof convergence of (1.1)
Consider (1.1) where the parameters α, β, γ, A, B,andC are nonnegative real numbers
and the initial conditions ... determine
the rateof convergence of all solutions in this region by using Poincar
´
e’s theorem and an
improvement of Perron’s theorem.
We wil l show that the asymptotics of solutions that converge...