báo cáo hóa học: " On the regularity of the solution for the second initial boundary value problem for hyperbolic systems in domains with conical points" pptx
... January 2006
We are concerned with proving the existence of one or more than one positive solution
of an n-point right-focal boundary value problem for the nonlinear dynamic equation
(
−1)
n−1
x
Δ
n
(t) ... completes the proof of the theorem.
The proof of part (b) is similar.
Our next results give criteria for the existence of one, more than one, or no po...
... article as: Hung et al.: On the regularity of the solution for the second initial boundary value problem
for hyperbolic systems in domains with conical points. Boundary Value Problems 2011 2011:17.
Submit ... notations and the
formulation of the problem. In Section 3 we present the results on the unique exis-
tence and the regulari...
... using a MEI or MCI model, and whether inclu-
sion of both types of items provide a better estimate of the
construct.
Construct validation of single item indicators
When advocating the use of single ... latent construct indicates
the proportion of variance in the latent construct which is
not accounted for by the weighted linear combination of
the measured items....
... structure for a kind of second- order
rational difference equation. With the change of the initial values, we find the
successive lengths of positive and negative semicycles for oscillatory solutions of ... to be
nontrivial.
If the solution is a nontrivial solution, then we can further divide the solution into two
cases: non-oscillatory solution and oscillato...
... Green’s function for the
corresponding linear boundary value problem is obtained and some existence criteria of at least
one positive solution for the above nonlinear boundary value problem are ... references therein.
2 Boundary Value Problems
In this paper, we are concerned with the existence of at least one positive solution for
the following secon...
... Based
on it, we prove Theorem 1.1 in Section 4. We conclude the paper with a representation of
smooth functions in W
1,p
Ω with p>Nin terms of the integral mean value over the domain
see Theorem ... an important role in solving boundary value prob-
lems of elliptic equations. The representation of the solution of the interior/exterior
Dirichlet...
... an important role in solving boundary value prob-
lems of elliptic equations. The representation of the solution of the interior/exterior
Dirichlet problem for Laplace’s equation is sought as a ... potential with unknown
density h. An application of property 2.14 leads to a Fredholm equation of the second kind
on ∂Ω in order to determine the function...
... in [1].
In [4], a variant of the blow up technique is proposed, but it is centered on a certain
point y
0
instead of on the points x
n
. In order to do that, the values of the solutions in
different ... (u
n
)
n
of solutions of the associated
problem, with u
n
unbounded (in the L
∞
norm). Let x
n
be a p oint at which u
n
attain their
maxima. With suitabl...
... seek for a solution of (2.6) satisfying condi-
tion
P
0
x
0
− x
0
=
0. (2.17)
12 On discrete analogues of nonlinear implicit differential equations
Since condition (3.7) is independent of the ... examples. The computation was carried out
in Matlab 7.0onaPentiumIV2.8 GHz running Windows NT.
The number of iterations a nd the initial approximation for the fixed-po...
... RT-PCR. In 9 out of 10 patients bone mar-
row WT1 levels were constant or increased at the time
point of progression mirroring the kinetics of bone mar-
row blasts during treatment (figure 1). In one ... patients. In all 5 patients more
than 90% of blasts stained positive for HLA-A2. In none
of the patients a difference of HLA-A2 expression before
therapy and at t...