... Analyticity and discrete maximal regularity on L
p
-spaces, Journal of Functional Anal-
ysis 183 (2001), no. 1, 211–230.
[5]
, Maximal regularity of discrete and continuous time evolution equations, Studia ... space,Journalof
Mathematical Analysis and Applications 277 (2003), no. 1, 324–341.
A NOTE ON DISCRETE MAXIMAL REGULARITY FOR
FUNCTIONAL DIFFERENCE EQUA...
... the National Natural Science Foundation of China (11061012), Project supported by
Program to Sponsor Teams for Innovation in the Construction of Talent Highlands in Guangxi Institutions of Higher
Learning, ... complete conver-
gence theorem for pairwise NQD random variable sequences still holds true under the
strong er condition. The result generalizes and extends the corr esponding resul...
... stability for nonlinear evolution equations, ” Journal of Evolution Equa-
tions, vol. 3, no. 2, pp. 361–373, 2003.
[10] W. M. Ruess, “Existence of solutions to partial functional e volution equations with ... solutions to partial functional- differential equations with delay,” in
Theory and Applications of Nonlinear Operators of Accretive and Monotone Type,A.G.Kartsatos,
Ed., vol...
... Inequalities and Applications 2011, 2011:76
http://www.journalofinequalitiesandapplications.com/content/2011/1/76
Page 7 of 8
RESEARC H Open Access
A note on the complete convergence for arrays
of dependent ... 8
J+1
J
J
−2J
k
n
i=1
EX
2
ni
J
.
(2:9)
Hence, the result follows by conditions (i) and (ii). ■
Remark 2.7. As noted in the Introduction, Chen et al. [9] have pr oved The...
... as: Jones: A note on the Königs domain of compact composition operators on the Bl och space.
Journal of Inequalities and Applications 2011 2011:31.
Jones Journal of Inequalities and Applications ... simply connected, l
Ω
(w) ≍ 1/δ
Ω
(w)andsoC
is compact on
B
if and
only if
Jones Journal of Inequalities and Applications 2011, 2011:31
http://www.journalofinequalitiesandapplications.co...
... space-valued continuous mappings.
The notion of well-posedness is of great importance in many areas of mathematics
and its applications. In this note, we consider two complete metric spaces of continuous
mappings ... F.S.DeBlasiandJ.Myjak,Sur la porosit
´
e de l’ensemble des contractions sans point fixe [On the
porosity of the set of contractions without fixed points],C.R.Acad.Sci.ParisS
´
er...
... solutions of a
rational system,” Communications on Applied Nonlinear Analysis, vol. 8, no. 1, pp. 1–25, 2001.
7 A. Y.
¨
Ozban, On the positive solutions of the system of rational difference equations ... the study of
qualitative analysis of rational difference equations and systems of difference equations.
Although difference equations are very simple in form, it is extremely difficult...
... solutions for strongly nonlinear problems,”
Journal of Differential Equations, vol. 199, no. 1, pp. 96–114, 2004.
[3] C. Azizieh and P. Cl
´
ement, “A priori estimates and continuation methods for ... solutions
of p-Laplace equations, ” Journal of Differential Equations, vol. 179, no. 1, pp. 213–245, 2002.
[4] S. Takeuchi, “Positive solutions of a degenerate elliptic equation with logi...
... byproduct, we obtain new nonoscillation criterion of Hille-Nehari type. We
also examine relations with the so-called M-classification i.e., the classification of monotone
solutions with respect to their ... consequence of Theorem 5.1 we obtain the
following new nonoscillation criterion. Recall that a Sturm type separation theorem holds
for equation 5.1,see13, hence one solution of 5...
... < 0 for 2 ≤ k ≤ N
s
.
A representation of solutions for a nonhomogeneous linear equation with initial
conditions is given by the following lemma.
Lemma 2.6 see 4, Theorem 2.3. For any ... Difference Equations
4 Y. Wang and Y. Shi, “Eigenvalues of second-order difference equations with periodic and antiperiodic
boundary conditions,” Journal of Mathematical Analysis and App...