... Problems
Theorem 3.5. Suppose that (1.2)hold,anda(t) > 0 and b(t)
≥ 0 are in [0,1]. Then Theo-
rem 3.2 continuestoholdfor(3.23).
Proof. Let F(t,u)
= a(t) f (u)+b(t). Then the hypotheses of Theorem ... Theorem 3.5 imply the hy-
potheses of Theorem 3.4, and the same conclusions of Theorem 3.2 hold.
Note again the asymmetry, Theorem 3.1 does not appear to have a similar ex...
... continuestoholdfor(3.23).
Proof. Let F(t,u)
= a(t) f (u)+b(t). Then the hypotheses of Theorem 3.5 imply the hy-
potheses of Theorem 3.4, and the same conclusions of Theorem 3.2 hold.
Note again the asymmetry, Theorem ... Problems
Volume 2007, Article ID 64012, 16 pages
doi:10.1155/2007/64012
Research Article
The Shooting Method and Nonhomogeneous Multipoint...
... existence and uniqueness of fixed points of this class of the operators. As an example of
the application of our results, we show the existence and uniqueness of solutions to a class of the
Hammerstein ... define the concept of the generalized u
0
-concave operators, which generalize the definition
of the u
0
-concave operators. By using the iterative met...
... here.
The idea is to define and set the binary-point position
of the states and the intermediate variables [8]. This gives
us a bound on the L
2
-gain of the transfer functions from
the input u to the ... different
operators, and so forth.
Though the new measures exhibited do not require
hardware and/ or software implementation of the filter, they
give a good app...
... (G
4
)and( G
5
). The n, there exist three solutions of VI (1.2), at least two of
which are nonzero solutions.
The proof of Theorem 3.2 is similar to the proof of Theorem 3.1 andsoweomitit.
4. ... u
2
and u
3
are nonzero solut ions of VI
(1.2). This completes the proof.
Theorem 3.2. Let all the conditions of Theorem 2.2 be satisfied and let g : K → X
∗
satisfy
the...
... first design the optimum real-valued coefficients
and then quantize them with the consideration of filter com-
plexity [24–29]. We call these approaches the quantization-
based methods. The results ... tech-
nique of FIR filters. The ideal coefficients are synthesized
using the Parks-McClellan’s algorithm [41] and represented
in the IEEE 754 double-precision floating-point forma...
... 1.1 and their convergence to the solutions of the compressible and
nonisentropic Euler equations in a time interval independent of . For this propose, we use
the method of iteration scheme and ... are nonisentropic and compressible Euler equations.
The aim of this paper is to justify rigorously the local existence of smooth solutions of
system 1.1 and t...
... 3.19
Now, we can prove the following weak convergence theorem for finding a common
element of the set of zero of a maximal monotone operator and the set of solution of the
variational inequality ... motivated by the idea of extragradient method 7, Kamimura et al. 4,
and Iiduka and Takahashi 6, we introduce the iterative scheme 3.1 for finding a common
e...
... and
phase) as a function of the number of iterations, with and
without a joint compensator. After convergence, both the
proposed method and the method of [11] reduced the error
significantly and ... similar to the method in [11] was an effective
technique for improving the linearization performance of
the MOP PD. In the following, the complexity of both...
... contradicting 2.11. Therefore, 2.12 holds.
Theorem 2.3. Assume 2.1.Ifthereexistsn
0
∈ N such that 2.11 holds, then every solution of
1.9 oscillates on t
0
, ∞
T
.
Proof. The proof is an immediate ... Karpuz,
2
and
¨
O.
¨
Ocalan
2
1
Department of Economics and Finance, Missouri University of Science and Technology, Rolla,
MO 65409-0020, USA
2
Department of Mathemati...