Hindawi Publishing Corporation Boundary Value Problems Volume 2011, Article ID 279752, 11 pages pdf
Hindawi Publishing Corporation Boundary Value Problems Volume 2011, Article ID 279752, 11 pages pdf
... s
φ
q
s
0
−a
r
f
x
r
,x
μ
r
∇r
∇s
Hindawi Publishing Corporation
Boundary Value Problems
Volume 2 011, Article ID 279752, 11 pages
doi:10 .115 5/2 011/ 279752
Research Article
Positive Solutions for ... boundary value problems for ordinary
differential equations and finite difference equations,” Computers & Mathematics with Applica...
Hindawi Publishing Corporation Boundary Value Problems Volume 2011, Article ID 867615, 17 pages pdf
... Θ
T
0
V
s
H
s
Δs.
2.22
Hindawi Publishing Corporation
Boundary Value Problems
Volume 2 011, Article ID 867615, 17 pages
doi:10 .115 5/2 011/ 867615
Research Article
Multiple Positive Solutions ... solutions for some second-order boundary value
problems, ” Computers & Mathematics with Applications, vol. 48, no. 5-6, pp. 699–707, 2004.
12 Boundary...
Hindawi Publishing Corporation Boundary Value Problems Volume 2010, Article ID 268946, 13 pages pot
... follows f rom Theorem 9.12 in 16.
Hindawi Publishing Corporation
Boundary Value Problems
Volume 2010, Article ID 268946, 13 pages
doi:10 .115 5/2010/268946
Research Article
Multiplicity of Nontrivial ... possesses an unbounded sequence of critical values.
3. Main Results
We need the following assumptions.
f
1
fx, t is odd in t for all x ∈ Ω.
10 Boundary Value...
Hindawi Publishing Corporation Boundary Value Problems Volume 2010, Article ID 524862, 21 pages docx
... following results.
Lemma 4 .11. For each u ∈ Σ,wehavethat
p − m
p − 2
J
∞
s
∞
u
u
≤ J
s
u
u
≤ J
∞
s
∞
u
u
, where m>2.
4.48
Boundary Value Problems 11
where w is the positive ... in Ω.
Proof. Applying Lemma 4 .11 iii to obtain
p − m
p − 2
α
∞
≤ α
Ω
≤ α
∞
,
p − m
p − 2
γ
∞
Ω
≤ γ
Ω
≤ γ
∞
Ω
.
4.58
8 Boundary Value Problems
then we hav...
Hindawi Publishing Corporation Advances in Difference Equations Volume 2011, Article ID 190475, 11 pot
... the two methods is growing.
Hindawi Publishing Corporation
Advances in Difference Equations
Volume 2 011, Article ID 190475, 11 pages
doi:10 .115 5/2 011/ 190475
Research Article
Numerical Solutions ... numerical values with Homotopy perturbation method and Variational
iteration method when a 0.05,b 0.03, and c 0.01 for 1.1,and4.1.
tα β Numerical value u, v by...
Hindawi Publishing Corporation Advances in Difference Equations Volume 2011, Article ID 107384, 11 doc
... Hindawi Publishing Corporation
Advances in Difference Equations
Volume 2 011, Article ID 107384, 11 pages
doi:10 .115 5/2 011/ 107384
Research Article
New Existence Results ... 2010, Article ID
364560, 17 pages, 2010.
13 B. Ahmad and J. J. Nieto, “Existence results for nonlinear boundary value problems of fractional
integrodifferential equations with integral b...
Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011, Article ID ppt
... 14
a α
5. 3.36
Hindawi Publishing Corporation
Journal of Inequalities and Applications
Volume 2 011, Article ID 131240, 14 pages
doi:10 .115 5/2 011/ 131240
Research Article
Size of Convergence ... tugcenmat@yahoo.com
Received 8 December 2010; Accepted 2 March 2 011
Academic Editor: Q. Lan
Copyright q 2 011 T. Selmanogullari et al. This is an open access article...
Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011, Article ID doc
... mistaken to be 1 /115 2
√
14 there.
Recently, there is a flurry of interest in the so-called Ostr owski-Gr
¨
uss-type inequalities.
Some authors, for example, see Ujevi
´
c 9, consider to bound a ... the
fractional part of t.
Example 4.3. The error functionals L
M
, L
T
,andL
S
for the midpoint rule, trapezoidal
quadrature and Simpson’s rule are, respectively,
L
M
f
1
0
f
t
dt −...
Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011, Article ID pptx
... ,j
l−1
∈ I
l−1
. 1.53
Hindawi Publishing Corporation
Journal of Inequalities and Applications
Volume 2 011, Article ID 350973, 19 pages
doi:10 .115 5/2 011/ 350973
Research Article
Refinements of Results ... have
k
l,m1
u
l
u
m
Υ
i
s
l
m
≥ 0,k 1, ,q.
2 .11
This means that the matrix
Υ
i
s
l
s
m
/2
q
l,m1
is positive semidefinite, that is, 2.9 is
valid....
Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011, Article ID pot
... N; n ∈ N
0
.
3.12
Hindawi Publishing Corporation
Journal of Inequalities and Applications
Volume 2 011, Article ID 401913, 16 pages
doi:10 .115 5/2 011/ 401913
Research Article
On Certain Subclasses ... akilicman@putra.upm.edu.my
Received 26 July 2010; Accepted 28 February 2 011
Academic Editor: Jong Kim
Copyright q 2 011 A. Saif and A. Kılıc¸man. This is an open acces...
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