... that in this new procedure, the unicity of the solution is
lost, an expected situation in the fuzzy context. Nonetheless, we can consider the existence of
four solutions as shown in the following ... Stacking
Theorem 5 we can construct the solution of the fuzzy initial value problem 4.1.
Remark 4.4. We see that the solution of fuzzy differential equation 4.1 d...
... the following three objects: the back button with the
title of the table information “Urbi et Orbi News”; the new
information index and total of news; and the segmented
buttons with navigation ... concluded that taking into account the main
characteristics of each version and the above-mentioned con-
siderations, “Mobile” performs better than other versions.
Therefore,...
... paper,
p
,
p
,and
p
will denote the ring
of p-adic integers, the field of p-adic rational numbers, and the completion of the algebraic
closure of
p
, respectively. Let be the set of natural numbers, and ... Journal of Inequalities and Applications
Let UD
p
be the space of uniformly differentiable functions on
p
.Forf ∈ UD
p
,
the p-adic q-integral on
p
, whi...
... cited.
The theorem on the Gronwall’s type integral inequalities with two dependent limits is established.
In application, the boundedness of the solutions of nonlinear differential equations is ... Section 2 includes some new integral inequalities with two dependent lim-
its and relevant proofs. Subsequently, Section 3 includes an application on the boundedness
of...
... Problems
Volume 2010, Article ID 203248, 11 pages
doi:10.1155/2010/203248
Research Article
A Remark on the Blowup of Solutions to
the Laplace Equations with Nonlinear Dynamical
Boundary Conditions
Hongwei Zhang ... present some sufficient conditions of blowup of the solutions to Laplace equations with
semilinear dynamical boundary conditions of hyperbolic type....
... field, and the completion of algebraic closure of Q
p
.Letv
p
be the normalized
exponential valuation of C
p
with |p|
p
p
−v
p
p
1/p. When one talks of q-extension, q is
variously considered ... pages
doi:10.1155/2009/956910
Research Article
A Note on the q-Euler Measures
Taekyun Kim,
1
Kyung-Won Hwang,
2
and Byungje Lee
3
1
Division of General Education-Mathematics...
... A3,itisnot
easier to verify the condition A3 than verify the condition A3’. Hence, from this point, the
condition A3’ is acceptable. On the other hand, the definition of D
n
is of some interest.
If ... an
element in the common fixed point set of finite family of closed relatively quasi-nonexpansive
mappings, common solutions set of finite family of equilibriu...
... interesting extension for the utilization
of these dilated LMI conditions as in, e.g., 21–23 provided solutions to the problem
of robust root-clustering analysis in some nonconnected regions with respect ... the important results of
Theorem 3.2 constitute a significant contribution to the multi-objective control problem.
Next, the important question on whether or no...
... solution to the problem of minimizing a
quadratic function over the common set of fixed points of a family of nonexpansive mappings
is of extreme value in many applications including set theoretic ... subdifferential in the sense of convex analysis.
Now, we collect some useful lemmas for proving the convergence result of this paper.
The first part of the next lemma...
... many mathemati-
cians in the field of number theory, discrete mathematics, analysis, mathematical physics, and
so on see 3–18.
The purpose of this paper is to give a new construction of the q-extensions ... q-extensions of zeta functions
from the Mellin transformation of these generating functions. Using the Cauchy residue
theorem and Laurent series, we show that th...