Báo cáo hóa học: "Research Article Dynamics for Nonlinear Difference Equation p xn 1 αxn−k / β γxn−l" ppt
Báo cáo hóa học: "Research Article Dynamics for Nonlinear Difference Equation p xn 1 αxn−k / β γxn−l" ppt
... implies r
2
p − 2 >pand
r
p
> max{ p/ p − 2
p 2
r
2
, p − 1 r
2
− p} .
Hindawi Publishing Corporation
Advances in Difference Equations
Volume 2009, Article ID 2356 91, 13 pages
doi :10 .11 5 5/2 00 9/2 356 91
Research ... ,k,are the k 1 roots of the polynomial
P
t
t
k 1
1
y
p
p
y
p
t
k−l
− r rt
k 1
p
r − 1
t
k−l
− r.
6 .15 ...
báo cáo hóa học:" Research Article On a Nonlinear Integral Equation with Contractive Perturbation" pdf
... & Applications, vol. 71, no. 9, pp. 413 1– 413 6, 2009.
11 B. Ricceri and A. Villani, “Separability and Scorza-Dragoni’s property,” Le Matematiche, vol. 37, no. 1,
pp. 15 6 16 1, 19 82.
12 ... Difference Equations
Volume 2 011 , Article ID 15 4742, 10 pages
doi :10 .11 5 5/2 011 /1 5 4742
Research Article
On a Nonlinear Integral Equation with
Contractive Perturbation...
Báo cáo hóa học: "Research Article On Convergence of q-Series Involving r 1 φr Basic Hypergeometric Series" ppt
... Hein
´
eennes sup
´
erieures, ou les s
´
eries de la forme 1
∞
n 1
x
n
1 − q
a
/ 1 − q ·
1 − q
a 1
/ 1 − q
2
··· 1 − q
an 1
/ 1 − q
n
· 1 − q
a
/ 1 − q
b
· 1 − q
a
1
/ 1 − q
b
1
... q
b
1
··· 1 − q
a
n 1
/ 1 −
q
b
n 1
··· 1 q
a
h
/ 1 q
b
h
· 1 q
a
h
1
/ 1 q
b
h
1
··· 1 −q
a
h
n 1
/ 1 q
b
h...
Báo cáo hóa học: " Research Article Dynamics of a Rational System of Difference Equations in the Plane" pot
... as
β
2
x
n
n 1
P
1
P
2
P
3
1
n 1
n − 1
P
1
P
2
P
3
1
n 1
β
2
1
− β
2
1
,
y
n
nP
1
P
2
P
3
1
n
n − 1
P
1
P
2
P
3
1
n 1
β
1
,
4.9
where P
1
,P
2
,andP
3
actually ... system
as
β
2
x
n
P
1
P
2
P
3
1
n 1
√
α
2
/
1
n 1
P
1
P
2
P
3...
Báo cáo hóa học: " Research Article Dynamics of a Predator-Prey System Concerning Biological and Chemical Controls" ppt
... Bifurcation diagrams of 1. 3 for q ranging from 4.54 <q<4.64. a x is plotted. b y is plotted.
11 .2 11 .3 11 .4 11 .5 11 .6
0
0.5
1
1.5
2
2.5
3
q
x
a
11 .2 11 .3 11 .4 11 .5 11 .6
q
0.65
0.7
0.75
0.8
0.85
0.9
0.95
y
b
Figure ... p
1
0
01 p
2
10
01
Φ
T
3.9
are μ
1
1 − p
2
exp−dT < 1andμ
2
1 − p
1
exp
T
0
a − cy
∗
td...
báo cáo hóa học:" Research Article Uniform Second-Order Difference Method for a Singularly Perturbed Three-Point Boundary Value Problem" pdf
... Difference Equations 9
Since
e
−μ
1
x
N/4 1
/
− e
−μ
1
x
N/4
/
e
−μ
1
N/4 1 h
1
/
1 − e
−μ
1
h
1
/
1
N
2
1 − e
−μ
1
h
1
/
<N
−2
,
e
−μ
2
−x
N/4
/
− e
−μ
2
−x
N/4 1
/
... e
−μ
2
−x
N/4
/
1 − e
−μ
2
h
1
/
1
N
2
e
−μ
2
N/2h
2
/
1 − e
−μ
2
h
1
/
<N
−2
,
e
−μ
1
x
N/4
/
− e
−μ
1
x
N...
báo cáo hóa học:" Research Article A New Conservative Difference Scheme for the General Rosenau-RLW Equation" pot
... follows:
κ
u
n 1/ 2
j
,u
n 1/ 2
j
− κ
U
n 1/ 2
j
,U
n 1/ 2
j
,e
n 1/ 2
2
p 1
h
J 1
j 1
p 1
i0
u
n 1/ 2
j
i
u
n 1/ 2
j
p i
x
−
p 1
i0
U
n 1/ 2
j
i
u
n 1/ 2
j
p i
x
e
n 1/ 2
j
2
p ... u
0
xe
ln{ p 3 3p 1 p 1 / 2 p
2
3 p
2
4p 7 }/ p 1
sech
4/ p 1
p 1/
4p
2
8p 20x. T...
báo cáo hóa học:" Research Article Bounds for Eigenvalues of Arrowhead Matrices and Their Applications to Hub Matrices and Wireless Communications" pptx
... d
j 1
/d
m
], [d
j 1
/d
m
, d
j
/d
m
], [d
j
/d
m
, d
j +1
/d
m
], and
[d
j +1
/d
m
,1] ,respectively .For ∈ [0,d
j 1
/d
m
], we have
d
j
+
t
= d
j 1
+ f
2
(ρ)and
d
j +1
= d
j
.For ∈ [d
j 1
/d
m
, ... d
1
/d
m
]and[d
1
/d
m
,1] . For ρ ∈ [0,d
1
/d
m
],
d
1
+s = f
3
(ρ). For ρ ∈ [d
1
/d
m
,1] ,wehave
d
1
+s = d
1
+ f
1
(ρ).
Hence
max
ρ∈V
d
1
+ s
...
Báo cáo hoa học: "Research Article Bounds for Certain New Integral Inequalities on Time Scales" pptx
... have
u
t
≤ a
1 /p
t
1
p
a
1 /p 1
t
t
t
0
e
A
t, σ
τ
G
τ
Δ
τ
≤ a
1 /p
t
1
p
a
1 /p 1
t
t
t
0
e
A
t, σ
τ
p
q
a
τ
A
τ
Δτ
≤ a
1 /p
t
1
q
a
1 /p
t
t
t
0
e
A
t, ... 2.7
Advances in Difference Equations 5
α
1 /p
1
q
α
1 /p
t
t
0
e
B
t, σ
τ
q
p
α
q /p 1
g
τ
Δτ
α...
Báo cáo hóa học: " Research Article Congruences for Generalized q-Bernoulli Polynomials" pot
... s
m
log
p
a p
∗
z : q
m
p
< |p|
1/ p 1
p
|p|
m 1 / p 1
p
p
∗
−m
p
|p|
m/ p 1
p
p
∗
m
p
|p|
m/ p 1
p
|p|
3m/ p 1
p
−→ 0,
2.22
as m →∞. So, whenever s ∈ D, the power ... q
1
,χ
1
n
q
n 1
β
n,q
1 p
∗
z
−nq
p
∗
z
p
∗
z
n 1
q
− p
n 1
q
β
n,q
p
1 p
1
p
∗
z
p
n 1
q
n
q
p
p...
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